What do you think?

Пікірлер: 384

  • @mrhtutoring
    @mrhtutoring6 ай бұрын

    The correct answer is (b) 5i.

  • @HMG_26

    @HMG_26

    6 ай бұрын

    Yes I get it right ✅️ 🎊👌

  • @ChronoNewton

    @ChronoNewton

    6 ай бұрын

    now all that is left is to attend the Korean CSAT😅

  • @RandomGamerES

    @RandomGamerES

    6 ай бұрын

    Ahh ye, i thought it was “-(5^2)”, ohh. It’s not the same as -5^2 5i

  • @prithvisinghpanwar6609

    @prithvisinghpanwar6609

    6 ай бұрын

    Why not ±5i

  • @Cybiq

    @Cybiq

    6 ай бұрын

    ​@@prithvisinghpanwar6609 why would it

  • @user-ky6be3co9u
    @user-ky6be3co9u6 ай бұрын

    √-5²=√-1x5² √-1x5²=√-1√5² √-1√5²=i(5) i(5)=5i

  • @flarklooney

    @flarklooney

    6 ай бұрын

    Your explanation is *_exactly_* what we needed. Thank You!

  • @SquidInkSpaghetti

    @SquidInkSpaghetti

    6 ай бұрын

    i was taught to just treat it like its -(5)^2 and that the exponent does not affect the 5 so i just did sqrt(-25)

  • @kalebcarpenter3920

    @kalebcarpenter3920

    6 ай бұрын

    @@SquidInkSpaghettithat’s because with the parenthesis they can be simplified to a positive number with that exponent. If you didn’t have any parenthesis you would still get a negative, which you can’t have in a radical, so you can still pull out an i (imaginary number) and then just square root the 25 which is 5 since (5and5) can go into a group. And then just remember to put the imaginary number after the 5. That’s the way I was taught at least, so similarly to how you were taught. 😂

  • @kalebcarpenter3920

    @kalebcarpenter3920

    6 ай бұрын

    @@flarklooneyyeah you can’t have negatives in a radical, so you can always just say -1 (which represents your i) times whatever number is being square rooted. And then once your done square rooting and simplifying, you can put in your imaginary number, it just can’t be the first thing your equation.

  • @Akira-hg2jq

    @Akira-hg2jq

    7 күн бұрын

    -1^2x5^2 isnt it have to be like that

  • @ariamh823
    @ariamh8236 ай бұрын

    If you don't understand -3^2=-9 It's -1×3^2=-9 and because power comes before multiplication it becomes a negative number

  • @diamondnether90

    @diamondnether90

    6 ай бұрын

    Think of it as -x^2 is 0-x^2. Treat the - sign as a minus and you’re good for any tricks like this

  • @lj1687

    @lj1687

    6 ай бұрын

    Then shouldn't the 3 be in a parentheses. 🫤

  • @kalebcarpenter3920

    @kalebcarpenter3920

    6 ай бұрын

    @@lj1687I would say yes because -(3)^2 will equal -9 still or in other words -1 (3X3) and then according to PEMDAS, you simplify your parenthesis, then multiply your -1 to what is in the parenthesis. So you would still get the right answer. I hope that helps!

  • @lj1687

    @lj1687

    6 ай бұрын

    @@kalebcarpenter3920 oh now I remembered -(3)^2 = -9 and (-3)^2 = 9.

  • @lj1687

    @lj1687

    6 ай бұрын

    @@kalebcarpenter3920 the lack of parentheses was throwing me off. Ty

  • @aaronbredon2948
    @aaronbredon29486 ай бұрын

    If there is possibility of misinterpretation, disambiguating parentheses must be used. This is the PRIMARY guiding principle of mathematics formulas. It takes precedence over all other rules. There are programs and conventions that do or have interpreted this in different ways. Therefore, there is a possibility of misinterpretation. Run this through the unix bc (binary calculator), and you will get 5. Run this through mathematica, and you will get 5i. Look at early mathematics papers and you can find different interpretations of the core concept. Look at older arithmetic books and you will find different interpretations of the core concept. Order of operations for negative integers in arithmetic prior to algebra is not properly defined (as compared to algebra, where the variables make one interpretation more common) The question posed is therefore badly formed.

  • @kmokashi
    @kmokashi6 ай бұрын

    You have very very interesting points about very basics in maths.

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    It's because I teach these basic math day in and day out.

  • @kujmous
    @kujmous6 ай бұрын

    if only there were a way to verbalize parentheses...

  • @kujmous

    @kujmous

    6 ай бұрын

    I have to fight the urge to think of "negative three" as the base. I would've said "the opposite of three squared is negative nine."

  • @AuroraNora3

    @AuroraNora3

    6 ай бұрын

    ​@@kujmous could still be interpreted as (the opposite of three)²

  • @kujmous

    @kujmous

    6 ай бұрын

    @@AuroraNora3 yes, and the only way I know of that even has the potential of disambiguating the two scenarios is splitting the meanings of those two phrases so that are currently equivalent.

  • @syber0942

    @syber0942

    6 ай бұрын

    ​@@kujmousThere is but it is sometimes confusing. There are some scenarios where parentheses are pronounced as "quantity". Example 3(2x+1) This is pronounced as 3 times the quantity of 2x plus 1

  • @kujmous

    @kujmous

    6 ай бұрын

    This is true, but the closing of parentheses or radicals becomes a matter of inflection. It may just be a matter of understanding that we have to lose some precision when speaking. For instance, how would we speak "7((x+y)-(a+b))"?

  • @wattavibe1079
    @wattavibe10796 ай бұрын

    Option: b. 5i 🎉🎉❤❤ First answer 😂

  • @seja098

    @seja098

    6 ай бұрын

    too easy

  • @dizzi5842

    @dizzi5842

    6 ай бұрын

    no, wrong. The minus is not an operator, it is a component of the number to square. So it is (d), because the origin equation does not play any role. Two failure in one equation. respect.

  • @ShanthiVeluswamy

    @ShanthiVeluswamy

    6 ай бұрын

    ​@@dizzi5842you are wrong. -5² =-(5)² =-25 You shouldn't square the "-" unless the question is (-5)² In which case, the answer would be... (-5)² =(-5)(-5) =+25 So the answer to the question is 5. Explanation: √-5² = i√5² ,where i=√-1 =5i

  • @dizzi5842

    @dizzi5842

    6 ай бұрын

    @@ShanthiVeluswamy -5² is not -1*5² because you can write it as x² with x=-5. Here the minus is an algebraic sign not a substraction. Just because math programs and calculators need help by parenthesis, doesn't mean implicitness notations are worthless.

  • @ShanthiVeluswamy

    @ShanthiVeluswamy

    6 ай бұрын

    @@dizzi5842 if you want to write x² where x is 5, then it should be written as X²=(-5)² =+25 But if there is no brackets, -5²=-5*5 =-25 If you still don't believe me, use a calculator or Google and check it for yourself.

  • @luisclementeortegasegovia8603
    @luisclementeortegasegovia86036 ай бұрын

    The right answer is 5i, since √- 5² = √- 25 = 5. √- 1 = 5i

  • @paolocarpi4769
    @paolocarpi47696 ай бұрын

    Not a confusing issue per se, it's a question about notation and interpretation. And I still don't like it. This way negative numbers don't exists anymore, or can't be represented anymore, but there are only positive numbers multiplied by -1. The confusing thing is why we should accept that.

  • @RonaldABG

    @RonaldABG

    6 ай бұрын

    Would you like to have an additional symbol to distinguish between the minus operation and the - of the negative numbers?

  • @paolocarpi4769

    @paolocarpi4769

    6 ай бұрын

    ​@@RonaldABG Why not? It is not that Maths is afraid of new, strange symbols. As an example, you can use the single dash/hyphen "-" for as a negative sign, and the wide one "-" or the even longer one "-" I don't know its name or use in English, I will call it superminus (just because I like it) as subtraction sign, the minus. It's obviously those are too similar to be effective, when handwritten would be a mess, so just pretend it is the choice for the sake of the example. So we would have a 5 - 2 = 3 and a 5 - -2 = 7, at which point the operator must be expressed because 5 - -2 = -10, (2 - 3²) = -7, (2 + -3²) = 11. If you want to isolate the negative sign, you'll have to use parentheses, -3² = 9, -(3²) = -9 I feel so much more correct to me because the negative sign is an intrinsic characteristic of the number not an operator while the minus sign is another operator and you have to force the representation of the sign if you want to be processed outside the square root. Now it can follow the padmas or what the heck in english you name the sequence.

  • @gabe9250
    @gabe92506 ай бұрын

    Since the -3 isn’t in parentheses you can treat his example of -3^2 as -1 * 3^2 making it -9. This is also due to the fact that by default, the exponent comes before the negative symbol or as per the scenario mentioned, the exponent comes before the multiplication like in the order of operations. To make it into the square of -3, the -3 would need to be put in the parentheses which in that case would make it positive 9.

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    👍💯

  • @user-lr6kp8ns7x
    @user-lr6kp8ns7x6 ай бұрын

    I failed the exam after seeing this video 💀

  • @AdarshRathore-ho8sq

    @AdarshRathore-ho8sq

    6 ай бұрын

    I thought the same broh

  • @evantesseract737
    @evantesseract737Ай бұрын

    5i but i loved how you gave us all the necessary bits in advance 😁

  • @andrewbell2712
    @andrewbell27126 ай бұрын

    Yikes! First time in 37 years I got a math problem right. That is if the answer is 5i. Just as a boring note, Godzilla 5i is now playing at a theater near you.

  • @LooneyKids847
    @LooneyKids8476 ай бұрын

    1) We do the action inside the square root : Sqrt (-5^2) = Sqrt [-(5^2)] = Sqrt (-25) 2) Since - 25 is a negative number we won't have a real solution so we will use the imaginery number (i): Sqrt (-25) = Sqrt 25 × Sqrt (-1) = 5i Answer: B) 5i

  • @uddhavsharma3357
    @uddhavsharma33576 ай бұрын

    The negative sign isn't inside the bracket. That's why it will be root of -25. So the answer is 5i so B.

  • @iamanidiot8624
    @iamanidiot86246 ай бұрын

    What you're telling me is that I've been doing this wrong during my whole school life..? Now I'm questioning my whole existence.

  • @88kgs
    @88kgs6 ай бұрын

    -'ve sign under square root, will give an "i"... And we have only one choice in the answer options, which has an "i".. Option (b) 5i , is correct answer

  • @SkulldozeR
    @SkulldozeR6 ай бұрын

    Guys and gals, I finished high school before the millennium but I do remember that a negative integer squared equals to a positive integer. Given that... √-5²=√25=+/-5 right? The square power is inside the root, not above it to handle it with i.

  • @ducvu8356
    @ducvu83566 ай бұрын

    The answer is B because u actually do 5 squared which gets 25 and the negative turns it into -25 and the square root of that is 5i

  • @amxgamer2240
    @amxgamer22406 ай бұрын

    b.5i Solution: √-5²=√-25=√-1 . √25 = i . 5 = 5i

  • @snehope742
    @snehope7426 ай бұрын

    Option 'B'

  • @nikhileshkabiraj5613
    @nikhileshkabiraj5613Ай бұрын

    ❤❤😢A

  • @SatyendraKumar-td5mp
    @SatyendraKumar-td5mp4 ай бұрын

    5i

  • @diamondnether90
    @diamondnether906 ай бұрын

    a) treat - as a minus sign. You don’t say that 0-5^2 is 0+(-5)^2. -5^2 is -25, not 25. Therefore, it is not sqrt((-5)^2)=sqrt(25)=5 b) is correct. sqrt(-5^2) = sqrt(-25) = sqrt(-1) * sqrt(25) = 5i (i is the imaginary unit) c) sqrt(-x) is not -sqrt(x), it is i sqrt(x). Don’t make that mistake. d) is wrong because i) it is not sqrt(25) in the first place, and ii) the square root function only gives the primary solution (i.e. it is not multivalued)

  • @baltimoredude1
    @baltimoredude16 ай бұрын

    5i. Breakdown - sqrt(-5^2) {original equation} sqrt(-1)sqrt(5^2) {-5^2 is actually -1 multiplied by 5^2} sqrt(-1) is i sqrt(5^2) is 5 i(5) = 5i

  • @pigeonlove

    @pigeonlove

    6 ай бұрын

    Why do people write sqrt when there is a square root symbol √ and an indices converter ², are you on a laptop?

  • @baltimoredude1

    @baltimoredude1

    6 ай бұрын

    @@pigeonlove desktop and the ASCII did not help.

  • @viktoraxa8963
    @viktoraxa89636 ай бұрын

    imo when you write -3 it is a negative number because that's what the sign means. If I write 5-3, that simply means 5 + (-3).

  • @colinjava8447
    @colinjava84476 ай бұрын

    It's b, but when we take the nth root of a+bi, there's not much documentation on what it actually is. There's n different nth roots of a+bi (if it's nonzero) so I take the one with the smallest positive argument. This ties in nicely with the square root of positive real numbers, eg 25 has two square roots, but the actual Sqrt of 25 is 5, as that has an argument of 0 when viewed as a complex number, whereas -5 has an argument of pi, so 5 has the smallest positive argument.

  • @666wurm
    @666wurm6 ай бұрын

    Once again it is down to definitions of notation. People remember or learned it differently. This is not a math question.

  • @HalifaxHercules
    @HalifaxHercules6 ай бұрын

    Answer is 5i. Usually, the Square Root of a number will always return an error.

  • @mathsalomon
    @mathsalomon6 ай бұрын

    But, if we are in the set of complex numbers, the resulting square root would be bi-valued, that is, it would have 2 possible values: ±5i, right? I say because the answer here is the alternative: b) 5i, which is an imaginary number, and at the same time it is a complex number.

  • @bharatkarle1435
    @bharatkarle14356 ай бұрын

    -5 is the current answer

  • @ShanthiVeluswamy

    @ShanthiVeluswamy

    6 ай бұрын

    No, the answer is 5i, Where i=√-1

  • @nevillealfredo5379
    @nevillealfredo53796 ай бұрын

    Im confuse... If we use the rule ³√a²=a^⅔ Then √-5²=-5^2/2=-5 But the answer is can be 5i too Im confusing with the rule -5²=-25 and (-5)²=25 We all know that √-25 is 5i but following what i have write before; -5²=-25, that mean √-25=-5 Can someone explain

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    Following the order of operation, -5² inside the square root must be completed first.

  • @fattahtaherazer4920
    @fattahtaherazer49206 ай бұрын

    5

  • @vinita3890
    @vinita38906 ай бұрын

    ±5i

  • @wepped482
    @wepped4826 ай бұрын

    x^2=-5^2 would be +/- 5i though. So in this definition sqrt() isn't the inverse operation of ^2.

  • @user-xj4nr3eb9c
    @user-xj4nr3eb9c6 ай бұрын

    Option (b)

  • @ray-r7p
    @ray-r7p6 ай бұрын

    Just wondering, you know how root 16 is only +4, but sometimes the solutions to an answer are +5 or -5 (for example), when is it only the positive solution and when is it both positive and negative solution?

  • @michelmulder5770

    @michelmulder5770

    6 ай бұрын

    When you want to x2 you have + / -

  • @ray-r7p

    @ray-r7p

    6 ай бұрын

    @@michelmulder5770 wdym x2?

  • @harrymatabal8448

    @harrymatabal8448

    6 ай бұрын

    √16 is 4. But if x^2 is 16 then x is+4 and -4.

  • @mikegraham4255

    @mikegraham4255

    6 ай бұрын

    @@harrymatabal8448 What is the reason -4 can't be the root of 16?

  • @ray-r7p

    @ray-r7p

    6 ай бұрын

    @@harrymatabal8448 o thankss, but is there a reason why? Whats the difference between them

  • @60secmath
    @60secmath6 ай бұрын

    Don’t believe in computer algebra systems, believe in math!

  • @andrewmccaskill2845
    @andrewmccaskill28456 ай бұрын

    b

  • @somnathlokesh
    @somnathlokesh6 ай бұрын

    Which is the right interpretation a:(-5)^2 or b: -(5)^2-where it’s only one negative not squared?

  • @catherinemarsh5453

    @catherinemarsh5453

    6 ай бұрын

    If there is no bracket, then only the number is squared not the negative sign.

  • @somnathlokesh

    @somnathlokesh

    6 ай бұрын

    @@catherinemarsh5453 thanks for confirming

  • @Geryboy666
    @Geryboy666Ай бұрын

    should be 5i from what I understand.

  • @notayush2064
    @notayush2064Ай бұрын

    5 because of the property √x²=|x| so here we take x to be -5 ,then modulus of -5 is 5🤓

  • @user-sv4iq2kr8t
    @user-sv4iq2kr8t6 ай бұрын

    B

  • @storytimewithlina9613
    @storytimewithlina96136 ай бұрын

    -5 squared is -25 Square root (you can look at the examples he put underneath) of -25 is 5i B

  • @Brid727
    @Brid7276 ай бұрын

    You know that rule where you can’t break a positive number inside the square root radical and then distribute the square root radical? Well, I can use that to prove that, say, sqrt(36)=+6 So sqrt(36) ≠ sqrt(-6)*sqrt(-6) sqrt(36) ≠ sqrt(6)*sqrt(6)*i*i +-6 ≠ -6 But -6=-6 so, 6 ≠ -6 So, logic suggests sqrt(36) ≠ -6

  • @YG-kk4ey
    @YG-kk4ey6 ай бұрын

    Got it

  • @mauijolls6912
    @mauijolls69126 ай бұрын

    b) 5i

  • @user-vo8st6bp6f
    @user-vo8st6bp6f6 ай бұрын

    How!!!!!!!!!!!! 😮😮😮😮

  • @raamtselon
    @raamtselon6 ай бұрын

    5!

  • @shellyvermastudy3815
    @shellyvermastudy38156 ай бұрын

    B 5i

  • @ashwinideshmukh8686
    @ashwinideshmukh86866 ай бұрын

    Option (b) 5i

  • @user-zr7eg5rz3t
    @user-zr7eg5rz3t5 ай бұрын

    Sir help me If A is 1/(1/2024+1/2023…..+1/2001+1/2000), Then if the integer A is divided by 48 what’s the remainer?

  • @nerd5865

    @nerd5865

    5 ай бұрын

    A isn't an integer

  • @junaidhasrat11
    @junaidhasrat116 ай бұрын

    I agree with you Sensei.

  • @CarlNeal
    @CarlNeal6 ай бұрын

    D

  • @RaquelSantos-hj1mq
    @RaquelSantos-hj1mq6 ай бұрын

    Why is the Square Root of 36 only positive 6? When we use the quadratic formula, it's always plus or minus. 🤔

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    By definition, square roots of 36 are ±6. But when we use the radical sign, √, we only use the positive root or the principal root. Meaning √36 is only equal to +6. ± is added only when solving an equation.

  • @user-mc8tt6xf6q
    @user-mc8tt6xf6q6 ай бұрын

    +5

  • @sudjitnaskar
    @sudjitnaskarАй бұрын

    i dont disagree i just wanna know whyyyyy? im curious

  • @storytimewithlina9613
    @storytimewithlina96136 ай бұрын

    B!!!!!!

  • @wonder-999
    @wonder-9996 ай бұрын

    Only (b)

  • @redroach401
    @redroach4016 ай бұрын

    b because -5^2=-25, sqrt(-25)=5i

  • @nigia8410
    @nigia84106 ай бұрын

    B 5i ..but not so sure

  • @ruchenbarua8334
    @ruchenbarua83346 ай бұрын

    B) i5

  • @margritkaminsky1470
    @margritkaminsky14706 ай бұрын

    5i?

  • @indianmanjotvideos
    @indianmanjotvideos6 ай бұрын

    (B) 5i

  • @thomasrobinson-vs2tn
    @thomasrobinson-vs2tn6 ай бұрын

    A

  • @navodshehan1604
    @navodshehan16046 ай бұрын

    (b)

  • @SumitKumar-kw1zb
    @SumitKumar-kw1zb6 ай бұрын

    C option

  • @mikehughes6582
    @mikehughes65826 ай бұрын

    When in doubt, use parentheses. Don't make me guess what the problem is asking.

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    If you know the rules, no need for extra parentheses.

  • @mikehughes6582

    @mikehughes6582

    6 ай бұрын

    @@mrhtutoring I know the rules; this is an Algebra problem, not Arithmetic.

  • @neilmorrone691
    @neilmorrone6916 ай бұрын

    I figure it to be 5i.... So, to be clear: [ --9^2 = --81]; [ --(9^2) = --81]; [(--9)^2 = +81]; --(--9^2) = +81.....

  • @luisclementeortegasegovia8603
    @luisclementeortegasegovia86036 ай бұрын

    b) √-5² = √-25 = √-1. √25 = 5i

  • @user-hr2uc4qn1w
    @user-hr2uc4qn1w6 ай бұрын

    b is the answer

  • @irfansyah9929
    @irfansyah99296 ай бұрын

    5i for surr

  • @anestismoutafidis4575
    @anestismoutafidis45756 ай бұрын

    The correct answer is b=5i, because 5i^2^1/2 is 5i

  • @philh8829
    @philh88296 ай бұрын

    A negative number squared is always positive. I hate how math is using ambiguous notation which requires insider knowledge to understand. Here are edits which I think need to be made: -n^2 = (n x n) -(n)^2 = -1 (n x n) a / bc = a / (bc) (a/b)c = ac / b

  • @carultch

    @carultch

    5 ай бұрын

    A minus ain't squared, unless it's been snared. Nothing ambiguous about that, it's a standard convention to follow. It's no more ambiguous and insider knowledge, than knowing that you need to drive on the right in the USA, and drive on the left in the UK. Math has rules of the road, just like actual roads have rules of the road.

  • @stevanherold5497
    @stevanherold54976 ай бұрын

    5i is correct, \/16 = +- 4

  • @krishna290gamer2
    @krishna290gamer26 ай бұрын

    √-5² = √-25 = 5i

  • @JealousNobody

    @JealousNobody

    6 ай бұрын

    +-5i

  • @varfarrog4544
    @varfarrog45446 ай бұрын

    You just can’t put a negative number under a square root it’s the rule si there is no good or bad answer it’s just undefined.

  • @ShanthiVeluswamy

    @ShanthiVeluswamy

    6 ай бұрын

    You can, mathematicians have defined the square root of negative numbers. √-1= i So the answer is.. √-5² =√-25 =√-1*√25 =5i

  • @varfarrog4544

    @varfarrog4544

    6 ай бұрын

    @@ShanthiVeluswamy sorry but you can’t. I’m a french mathematician sudent and you can’t do that. i isn’t defined as sqrt(-1) but i is defined as i^2 = -1. We are doing that because it’s absolutely illégal to put negatine numbers under square root. If you do it, you can show that 1 = -1. That’s why it’s prohibited. Let me show you: sqrt(-1) * sqrt(-1) = (sqrt(-1))^2 = -1 But, you have also: sqrt(-1) * sqrt(-1) = sqrt(-1 * -1) = sqrt(1) = 1 So 1 = -1. There is absolutely no error of calcul. Here is what append when you put negative Numbers under sqrt. Another way to show it is the following: Everyone know that sqrt is power 1/2 But when the power is not an integer, it’s defined like that: x^n = exp(n * ln(x)) and what’s ln(x) if x is negative ? This is undefined. Like x^(1/2) is not defined if x is negative. So, i’m not an amateur, i’m doing high level mathematics everydays with highly qualified teachers. So when i tell you that you can’t do that, actually, you really can’t.

  • @ShanthiVeluswamy

    @ShanthiVeluswamy

    6 ай бұрын

    @@varfarrog4544 √-1*√-1 does not equal √(-1*-1) You can only combine the root(√) when atleast one of the 2 numbers in positive. In this case, both of the numbers are negative. i.e. √a*√b=√ab only holds true when atleast 1 of them is positive. You said that i²=-1 That implies i=√-1 You can use other websites to verify this and for the problem mentioned in the video, the answer is 5i Also I didn't think that you are immature or weak at math.

  • @ShanthiVeluswamy

    @ShanthiVeluswamy

    6 ай бұрын

    @@varfarrog4544 also ln(x) where x is negative is NOT undefined. It is a complex number. For example ln(-1)=3.1415i (approx)

  • @REAL_ARMY_FF
    @REAL_ARMY_FF6 ай бұрын

    bbbbbbbb

  • @johnsiegel6849
    @johnsiegel68496 ай бұрын

    Can someone explain this to me like im five

  • @carultch

    @carultch

    6 ай бұрын

    This is beyond the scope of what I'd expect anyone to understand at age 5, but I'll give it a try. I'll assume all you know how to do is add and take-away numbers, and build to what you need to know to understand this. 1: Times (that is multiplication), means repeated plus (that is addition). Example: 3*4 means 3 copies of 4, added together. 4+4+4 = 12. 2: Squaring means repeated times. 5^2 tells us to take two copies of the number 5 and times them. 5 times 5 = 25. 3: Square root, means undo the process of squaring. Square root of 9, this asks the question, what two numbers can we times to get 9? Answer: 3 times 3 = 9. 4. Negative numbers are numbers on the opposite side of zero. "you can't take 3 from 2", as you might hear in kindergarten, is a lie. You can take 3 from 2, and you'll get -1, which we call "negative one". Just think of these as numbers that tell you what you owe, instead of what you have. A negative times a negative a positive. Because we said so, a square root of a positive is also a positive, so sqrt(9) = +3 and not -3. There is a negative number that can square to equal 9 as well, since (-3)*(-3) = +9. 5. Square roots of negative numbers are a tricky one. We need two equal numbers to multiply to get a negative number, but neither two negatives nor two positives can be the answer. Instead, we invented a solution we call i, to be the square root of -1. Negating a number spins it to the opposite direction, so a number times i, is a quarter-turn from the original.

  • @carultch

    @carultch

    6 ай бұрын

    So with all that, how do we unpack sqrt(-5^2)? First: a minus ain't squared, unless it's been snared. This means -5^2 means you first square the 5, and then give it a minus sign. So -5^2 = -25, and not +25. Second: the minus inside the square root, means i will be in the answer. Take the square root as if it were a positive number, and then attach i at the end. sqrt(25) = +5 sqrt(-25) = 5*i So 5*i, option B, is the correct answer.

  • @johnsiegel6849

    @johnsiegel6849

    6 ай бұрын

    @@carultch I see tysm🫶. Also for the “explain it to me like im five” part, its just another way to say “can you dumb this down for me as much as possible”

  • @gregnixon1296
    @gregnixon12966 ай бұрын

    I checked WolframAlpha to see what it said about -3^2. Its answer was -9.

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    That's the way to go!

  • @voty7345

    @voty7345

    6 ай бұрын

    @@mrhtutoring: I’m a bit confused as well . There was an example of : If x = -3 , then what is x^2 . And your answer was 9, not -9 . And now you have this -3^2 is -9 .

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    When x=-3, x²=(-3)²=9 But when you have -3², it's equal to -9.

  • @prithvisinghpanwar6609
    @prithvisinghpanwar66096 ай бұрын

    why isn't ±5i correct?

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    If you had the equation x²=-25, x would equal ±5i. But when simplifying √-25 without the equation, it's only equal to 5i.

  • @Snekoy

    @Snekoy

    6 ай бұрын

    the sqrt() function can only spit out positive numbers

  • @petervan7372
    @petervan73726 ай бұрын

    i work for social security agency, i know the answer is 5i

  • @lj1687
    @lj16876 ай бұрын

    I always thought (-3 * -3) and (-3^2) were the same.

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    (-3×-3)=(-3)² (-3²)=-3×-3

  • @ugonnahart3908

    @ugonnahart3908

    6 ай бұрын

    ​@@mrhtutoring ???

  • @naopoint4096

    @naopoint4096

    6 ай бұрын

    @@ugonnahart3908 -3^2 and (-3)^2 are different because the one without paranthesis is only applying to the 3, not the negative, while the one with paranthesis is applying to the negative AND 3 -3^2=-1(3^2)=(-1)(9) (-3)^2=(-1)^2 (3)^2=(1)(9)

  • @ugonnahart3908

    @ugonnahart3908

    6 ай бұрын

    @@naopoint4096 thank you. As always, the position of the parenthesis matters.

  • @dizzi5842
    @dizzi58426 ай бұрын

    Show me the "convention", that negative numbers don`t exist. And the origin equation does NOT matter. So it is (d). TWO failures in ONE equation. Respect!

  • @NoovGuyMC

    @NoovGuyMC

    6 ай бұрын

    Did you translated this lol? And evn √5² ≠> ±5

  • @dizzi5842

    @dizzi5842

    6 ай бұрын

    @@NoovGuyMC sure it is. The origin 5^2 does not longer matter, when you extract the root from 25. There is no need to parenthesize, except you put it in an calculator (which replaces the minus with an -1 multiplication). The minus is NOT an operator, it is part of the number. The Equation here is sqrt(x^2) = (+-)x. Not sqrt(-x^2), which is (+-)xi .

  • @NoovGuyMC

    @NoovGuyMC

    6 ай бұрын

    @@dizzi5842 negatives are not part of the number, it's one of the reason why they're not included in natural number set. From my understanding, negative numbers are a reflection and its "function" is f(x)=-1x, x=N (emphasied on the open-end quote) √x² = |x| which is correct, but that really only matters with variables (accompanied with the equal sign), your case "√5²" is like saying "f(x) = √x², x = 5, find f(x)", there's only 1 number input (x=5) that spits out 1 type (√5² = 5) of number on output, this does not imply that it's ±5, because there's already a value as input in that square root. If it's √±25 = 5, then √-25 = √25 = 5, which is false It's equal to ±5 when it mostly involves variables, like √x² = 5, then fair enough since √x² = |x|, then |x| = 5 => x = ±5. √x² is a many-to-one function (e.g. √(-1)² = √1² = 1), not many-to-one. ±√x² is a one-to-many function, and only that ±√5² can be truly ±5

  • @RonaldABG

    @RonaldABG

    6 ай бұрын

    @@dizzi5842 Since we use the same symbol (-) for multiple meanings, in order to disambiguate at least one of the meanings has to "concede" and be used with parentheses so as not to be confused with the others. It just happens that negative numbers are the ones that are preferred to concede. So, do you want to imply that the -5 is which is squared? Then write (-5)^2. This is an "almost" universal convention. (Almost). Excel is an exception. The reason of that is that we generally want to write the polynomials as simple as possible, eliminating the need of parentheses in them. In particular, we wouldn't want these two things to represent the same: x^2 and -x^2. As the only difference between the two is a minus sign, we want them to provide opposite values. So, once we evaluate them in a particular number, as 5, we still want them to represent opposite values: 5^2 and -5^2. The alternative is to introduce an extra notation to differentiate the operation of negation and the negative part of the numbers. And actually some ways have been proposed, but they have not become popular. And to be honest, what would be the purpose of that? Just to avoid putting negative numbers in parentheses? I think it complicates more than it simplifies. There is an entire article of this in "themathdoctors". They talk about this particular topic in: "Order of Operations: Common Misunderstandings".

  • @user-id5vj5lk9d
    @user-id5vj5lk9d6 ай бұрын

    C.-5

  • @peterho5778
    @peterho57786 ай бұрын

    Negative inside square root is not a real number, so likely answer b is the only correct option

  • @NicholasOfAutrecourt

    @NicholasOfAutrecourt

    6 ай бұрын

    Except that √((-5)^2) is 5, not 5i.

  • @FloraLemonYT

    @FloraLemonYT

    6 ай бұрын

    @@NicholasOfAutrecourt you are placing parenthesis in the equation as if you're allowed to... you realize that affects how its calculated?

  • @carultch

    @carultch

    6 ай бұрын

    @@NicholasOfAutrecourt A minus ain't squared, unless it's been snared. -5^2 doesn't mean a negative 5 is squared. It means you first square the 5, and then negate it.

  • @NicholasOfAutrecourt

    @NicholasOfAutrecourt

    6 ай бұрын

    @@carultch I'm well aware. I used to teach high school students this stuff. But thanks.

  • @anythinggoes8866
    @anythinggoes88666 ай бұрын

    Here I thought multiplying two negatives equals a positive

  • @carultch

    @carultch

    5 ай бұрын

    A minus ain't squared, unless it's been snared. In this case, the -5 isn't squared together, when written as -5^2. Only the 5 is squared. The minus is applied after the squaring. Since it is so much more common that you prefer signs to be applied after exponents, it is convention that you have to snare your negative signs, if you want them raised to any power. Thus, you'd have to write it as sqrt((-5)^2), if you wanted two negatives to multiply to be a positive in an example similar to the given one.

  • @nerd5865

    @nerd5865

    5 ай бұрын

    it does but -a²=-(a²)

  • @GatorTrader02
    @GatorTrader02Ай бұрын

    +5 -

  • @martincorrea4271
    @martincorrea42716 ай бұрын

    I came up with b

  • @Brijeshyadav-746
    @Brijeshyadav-7466 ай бұрын

    This is right answer 5iora (5i) this is right option b is😊😊

  • @Marranrageh
    @Marranrageh6 ай бұрын

    It -5

  • @davidradics9565
    @davidradics95656 ай бұрын

    -5²=-25 √-25=5i The correct answer is (b)

  • @dominickchuka5387
    @dominickchuka53876 ай бұрын

    Answer is B -5^2 = -25 sqrt(-25) = 5i

  • @Sunset.Rising
    @Sunset.Rising6 ай бұрын

    (b) √-5^2 = √-25 = i√25 = 5i

  • @navjotsinghdhiber3454
    @navjotsinghdhiber34546 ай бұрын

    Oh yeah. Got it right.

  • @1nfius948
    @1nfius9486 ай бұрын

    What if the square is outside the root

  • @mrhtutoring

    @mrhtutoring

    6 ай бұрын

    Then it would simplify to -5.

  • @1nfius948

    @1nfius948

    6 ай бұрын

    @@mrhtutoring oh ok

  • @AdorjanVas
    @AdorjanVas6 ай бұрын

    It is b, 5i.

  • @protossimba5017
    @protossimba50175 ай бұрын

    Isn’t the square root of 16 (-4,4)?

  • @mrhtutoring

    @mrhtutoring

    5 ай бұрын

    By definition, square roots of 16 are ±4. But when we use the radical sign, √, we only use the positive root or the principal root. Meaning √16 is only equal to +4.

  • @nerd5865

    @nerd5865

    5 ай бұрын

    principal root

  • @simsghadim31
    @simsghadim315 ай бұрын

    Answer is 5i

  • @lookingforahookup
    @lookingforahookup6 ай бұрын

    Who would disagree that 4 is the square root of 16?

  • @charliehoward3521

    @charliehoward3521

    6 ай бұрын

    Some people say +-4 since -4 x -4 =16

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