It is too simple for Math-Olympiad.

@vishal.gupta1

11 ай бұрын

Agreed

@oficialmundodiverso

11 ай бұрын

No

@uwuowo7775

11 ай бұрын

​@@furina9053Olympiad math is just a whole different level man, thats why they mentioned it

@volkanatar4232

11 ай бұрын

I think it was maybe paralympic games

@SkyBlue0

11 ай бұрын

Maybe it was from the qualifier level exam

Instead of looking for (a-b)^2 = 3 - 2 sqrt(2), I looked for (a + b sqrt(2))^2 = (3 - 2 sqrt(2)), with a, b rational numbers. The advantage here is that I don't have to pull a and b out of thin air: I can solve for them. In this case we have a^2 + 2 b^2 = 3 and 2ab = -2. There are two solutions here: a = -1, b = 1, and a = 1, b = -1. The latter choice is the positive result implied by the radical. So the answer is -1 + sqrt(2). How did I know to look for an answer in this form? From more advanced math, I know that Q[sqrt(2)] is a field, which means specifically for us that it's closed under multiplication. So it's a good place to start when looking for roots of a polynomial.

@NazriB

10 ай бұрын

Lies again? Must See TV Deaf Blind

@yu-yu704

9 ай бұрын

I remember seeing this trick of manipulation of sqrt(2) like imaginary numbers, but I didn’t realize it had a formal name Q(sqrt(2))

@RozoClopero-hj9lf

9 ай бұрын

You can also use the fact that for a = sqrt(3 - sqrt(8)) and b = sqrt(3 + sqrt(8)) we find that ab = 1 and a + b = sqrt(8), hence x^2 - sqrt(8)x + 1 = 0 have - 1 + sqrt(2) and 1 + sqrt(2) for solution.

@johnklaus9111

Ай бұрын

So -1 is on of your answers for a square root problem? What times what equals negative 1? Ooops...

@emankhan6094

Күн бұрын

2+2= 4

I am a genuine maths dunce. Don't remember learning any of this and I don't understand it now either! 😅

@Nepali_guy_Study_yt_account

2 ай бұрын

Every one has their own unique talent sir....

@user-qs7pr7kl2j

2 ай бұрын

Bro are you from America 😂

@epicmansteingaming452

2 ай бұрын

@@user-qs7pr7kl2jif you think Americans are dumb you should see which country has the most medals in International Math Olympiad

When I went to a secondary modern senior school in 1958 I was taught to be literate and numerate, I worked as a precision engineer but I don't have a clue what the lady is talking about.

@anilthomas5658

2 ай бұрын

Bro this for real made me fall of my bed laughin

@yomyomcam

2 ай бұрын

She got this "trick" out of a Deus Ex Machina

One should be careful in distinguishing between 'equals' and 'implies' symbols.

√(3 - 2√2). Shortcut: 2 + 1 = 3 and 2 x 1 = 2. Automatic: √2 - √1 which simplifies to √2 - 1. Use the shortcut and don't overthink it.

@killanxv

11 ай бұрын

i didn't get your point

@jim2376

11 ай бұрын

@@killanxv If (1) the coefficient in front of the second term is 2, and (2) the numbers summing to the first term are the same as factors multiplying to the radicand in the second term, then the answer is the sum or difference of the roots of the two numbers summing to the first term. See my post above. Gotta have that coefficient of 2 in front of the radical sign in the second term. √(15 + √200)) √200 = √(4 x 50) = 2√50. Bingo! Got the coefficient of 2. Now 10 + 5 = 15 and 10 x 5 = 50. Throw radical signs over 10 and 5 for your answer: √10 + √5. Note that we keep the sign in the original problem. Hope this helps.

@abhishekchhikara4100

11 ай бұрын

​@@jim2376made even more difficult 😂 , what is a radicand ? Too simple earlier , it happens by simple instincts

@SunnyRosy-uk1ch

11 ай бұрын

​@@abhishekchhikara4100That's for people like you, just go and read definitions and you can see the word radicand is so common in most textbooks

@James_Lindgaard

11 ай бұрын

What happens when your teacher wants to see the problem worked step by step?

Appreciate that there are some Maths Olympiad questions within our grasp. I forgot the sqrt(square) trick from high school, but would have been able to do it then. These are like IIT JEE questions, maybe training questions, those students would argue. I expect IIT JEE students (even students) to call this easy by IIT JEE standard. Which would make me average in Maths. At 90 percentile in Quantitative Ability in the Stamford-Binet V test.

@eddie31415

10 ай бұрын

yeah, it's an easy question. Like JEE Mains level probably.

@Kanuos-xd8ej

9 ай бұрын

@@eddie31415 this is class 9 school level.

@srivatsnaman

8 ай бұрын

This question is in Class 9 R D Sharma Factorisation of Polynomials fill in the blanks in the form of √3 -2√2.

@blank3580

8 ай бұрын

@@eddie31415 lol no 8th or 9th class problem maybe jee mains level are far more harder than thiss

@NaplesFC

8 ай бұрын

@@eddie31415 it's a grade 9th or 10th question maybe

We were solving such problems in my 8th grade in Romania in a regular maths class. Too simple for an Olympiad.

@jonavuka

10 ай бұрын

no one cares

@thomasjefferson6225

10 ай бұрын

I'm sure third world Romania isn't.

@user-il6fm1gf7g

10 ай бұрын

I wonder if no baddy needs mathema😊ticks why still teach them

@Mayhamsdead

10 ай бұрын

Cope and seethe.

@Mayhamsdead

10 ай бұрын

China and Romania have always been at the top when in comes to math, but I don't necessarily think the method used to achieve that goal was a positive one.

Interesante y didáctica explicación, muchas gracias por compartir 😊❤😊

Because in the main question the number under square root is definitely positive, as squared root of 9 is bigger than squared root of 8.

@scottrichmond3548

10 ай бұрын

Then again, the square root of 9 is also -3, so there are two answers.

@rudraroopbhattacharjee6191

10 ай бұрын

@@scottrichmond3548 square root of 9 is 3 not -3

@antronx7

10 ай бұрын

@@rudraroopbhattacharjee6191 what's -3 * -3 ?

@rudraroopbhattacharjee6191

10 ай бұрын

@@antronx7 9

@rudraroopbhattacharjee6191

10 ай бұрын

@@antronx7 I understand what you are trying to say but its a rule of mathematics that in Real numbers, √x is always non negative. What you mean to say is- Roots of X² are ±√(x²) See, the ± comes before a square root thing. This is because a square root can never be negative. In your case, X² = 9 X = ±√9 X = +3, -3

As a martian, I teached myself this trick at 6 months old, by observing shadow patterns in our red planet.

@jassaljs

10 ай бұрын

😂

@Dad_Of_Atreus

3 ай бұрын

Ain't no martian looks like a mongoose 🗣️

I hope one day everyone finds the peace in math! Love from Türkiye.

@ibrahimhalilalpaslan1259

6 ай бұрын

Well we are not going to find it until we get fair question remember differential problem in 2021? İ dont know if youre university preparing student or you did but just check it out

There is a rule if it is in the form of sqrt(sqrt(x+y)-2sqrt(x.y)) then the result is sqrt(x)-sqrt(y). For this question sqrt(sqrt(2+1)-2[sqrt(2)*sqrt(1)])=sqrt(2)-sqrt(1)=sqrt(2)-1

@atulyaroy8962

10 ай бұрын

Well it's better to be said identity, since it holds for all Reals. Like a process has a rule to (for example) integrate by parts, you assume 1 function to be 1st and other to be second then you apply the formula of rule. Just my take.

@user-cx4gc5lh4b

10 ай бұрын

This doesn't look exactly right. Square your RHS. You get (x + y) - 2 sqrt(xy). You need to lose one "sqrt" on the left hand side. To wit: sqrt((x + y) - 2 sqrt(xy)) = +/- (sqrt(x) - sqrt(y)), with the sign chosen on the RHS to ensure the number is positive.

I just did it like √(3-2√2) √(3-2(1.4) √(3-2.8) √0.2 √20×10^-2 Which gives somewhere between 4~4.9 not 5 since it needs root 25 and taking out the 10^-2 from root gives us 4.1×10^-1 which gives us 0.41

I could have gone my whole life without knowing that answer! Now I know!

@glasssmirror2314

3 ай бұрын

Please help me to solve using diff of 2 sq as mentioned by teacher but not followed.

People saying this is too simple, and while it kind of is simple, it is also hard to come up with unless you are trained to apply this kind of thinking in problems. I would have never guessed to use the square of difference identity, feels like its a problem you have to be familiar with beforehand

@Aman-nk5uq

10 ай бұрын

Yupp, one must have known the patterns before

@novaastronomia8720

6 ай бұрын

I think its not that hard. In √(3-2√2), the 3-2√2 is inside a sq root, which makes us try forms like (a±b)^2

@user-qs7pr7kl2j

2 ай бұрын

It's simple school book question in india probably from 8 or 9th grade it's just basic...😂 I didn't expect anything form American but atleast European can do it🤡😂...I guess now a days they are busy in teaching children about gender equality and lgbt😂🤡

@mar2506

Ай бұрын

"it is also hard to come up with unless you are trained to apply this kind of thinking in problems" . those who are spesicically trained for olympiands, will be trained for this and much more , becomes it too easy for them.

Nicely done and thank you. However, I'll just use my handy electronic calculator for these kind of problems.

What kind of pen are you using? I’ve been looking for a fine-point pen for ages!

@EricBarger

8 ай бұрын

I'm glad someone else asked this question.

I suck at maths, but found this very calming. Please advise using the problem above, where would I use it in life? Many thanks....

I am totally lost from the start.

Now √(√9 - √8) = √(3 - 2√2). Now suppose √(√3 - 2√2) = a + b√2, where a and b are integers. This maybe not actually have a solution in integers, but if it does, we can find them as follows. Let 3 - 2√2 = (a + b√2)² = (a² + 2b²) + 2ab√2 So, 3 = a² + 2b² and -2 = 2ab So, (a = 1 and b = -1) or (a = -1 and b = 1). However, a + b√2 ≥ 0, as otherwise √(√9 - √8) would be a complex number, so we are forced to conclude that a = -1 and b = 1 is the only possible solution. So, √(√9 - √8) = -1 + 1*√2 = √2 - 1.

@samarthsamrat8378

10 ай бұрын

It can be the other method which is great but the standard one is more easy and convinnient

@user-cx4gc5lh4b

10 ай бұрын

I'd start by relaxing to let a, b be rational numbers. Then be pleasantly surprised when they turn out to be integers. The rest of the process is exactly the same.

37 years ago I had this one i my final high schools exam

I love maths but the way she explains it its juicy way of explaining.

Why do you need ( a-b)(a-b)? You can simply find the answer at 3-2√2 only na. 3-2*1.414=3-2.828=.172=√.172=.414 which is the same one.

@lesouni9342

3 ай бұрын

Im guessing you're not allowed a calculator in this exam , as such your calculation are only approximation and can't be used as answers.

@praveendavuluri9576

3 ай бұрын

@@lesouni9342 you don't need a calculator for such easy things.you don't even need a pen& paper for sure.

@emankhan6094

Күн бұрын

2+8= 10

@emankhan6094

Күн бұрын

Hiding qusoin are

Root 2 - 1, solved in less than a second orally 😅, a better version of the problem always appears in school level maths olympiad so just used to it.

Shortcut √3-2x1.4=0.447, just compare from the options

Oh, that voice, that accent! ❤️

Your just doing the math there’s no explaination along the way.

Real Olympiad questions Let a and b be positive integers such that ab+1 divides a²+b². Show that a²+b²/ab+1 is the square of an integer.

I knew this ...i just forget about it. That's what happens when you don't stay in practice

@tomcherry1976

11 ай бұрын

Ashole cleaning in Hospital useless.

it's for secondary school in Vietnam 😂

@hoangdj

10 ай бұрын

True story 😂

This is a standard problem. You reduce it to sqrt (sqrt (9)+sqrt(8))=sqrt (2+2\sqrt(2)+1)=sqrt(2)+1.

Since Sq root of 2 -1 is positive you don't have to use absolute value

Can somebody help me with this question: task: Arthur and Renate are playing on a square game board divided into 7 x 7 squares. Arthur has two red stones initially placed in the bottom left and top right corner squares, while Renate has two black stones initially placed in the top left and bottom right corner squares. On their turn, a player selects one of their two stones and moves it to a horizontally or vertically adjacent free square. Arthur and Renate take turns, with Arthur starting. Arthur wins if, after a finite number of moves, his two stones are in horizontally or vertically adjacent squares. Can Renate prevent this by making clever moves?

Equation with double radical The first number will be added to the second. And then it's going to be the product of the first number and the second. ✓3-2√2= S=2+1=3. P=2.(-1)=-2. ✓2-1 .

@emankhan6094

Күн бұрын

3_2 1

Used calculator, got same result.💪

@anas8695

4 ай бұрын

Work smarter not harder 💪

I am an Azerbaijan pupil. Question is very easy. I found the solution to the question as soon as I saw it

Who ever this woman is, I’m in love. Thank you x

Brilliant 👏

It's a nice problem and thanks for your video. Please however do not write "=>" when dealing with terms. It leads many students to improper notation.

Funny i always thought algebra was magical until i learned trigonometry. Then i was amazed on how it is used in daily life. I always questioned when i would need to use algebra in daily tasks... 😅

Nice but where we can implement this kind of maths problems ?

This can’t be olympiad question. It is literally one of the math 101 rules. There is even shortcut for that like people mentioned.

@eliasbram3710

10 ай бұрын

do you Know that math olympics have some simple questions here and there to slow participants down and reward faster solutions right? This Its one example of such questions. You solve it quickly to have more time to solve the actual problems

@novaastronomia8720

6 ай бұрын

@@eliasbram3710 heh

Loved it !

Para los que piden solución negativa, recuerden que: x^2=4 no es lo mismo que x=√4 ....

@davidecampana269

10 ай бұрын

Esatto. Dai che a novembre quando non sarò più quello dei numeri e tiferò Putin che farà un bel botto nucleare vi regalerò giubbotti di plastica a specchio, piscine in muratura e motomacchine che sfrecciano a 500 orari. Da novembre ci divertiamo tutti contro tutti col finale nucleare planetario

@plutao_pt

10 ай бұрын

pero cuadrados negatvos no existen

@emankhan6094

Күн бұрын

2+2 =4

@emankhan6094

Күн бұрын

4+4 = 8

I never used the (a±b)² formula like that before, thats brilliant

@emankhan6094

Күн бұрын

2+2= 4

To solve the problem here, two symbols used ie. "Is equal to" and "implies". For simplification "is equal to" is used. But to solve an equation "implies" symble is used.

@bluebow9347

2 ай бұрын

Can you specify the implies symbol?

Loved it

Instead of doing this simply let the whole thing be x and form a quadritic equation and just solve it. Isn't it better to give all the possible values rather than just 1 value?

Under the bracket or under the root ?

3-2root2=(root2-1) square under root square and roof goes the answer is root2-1

What's the motivation for trying to express it as a^2 - 2ab + b^2? If you don't already know the answer, why would you do that?

@tiendunghoang9823

10 ай бұрын

Motivation being it's an olympiad question and already has an answer sadly. Kids training for math contests like this are used to the form of the math question so they only have to pull one trick out of the bag. It's the kind of stuff you have to rote learning!

@OptimusCrime4444

10 ай бұрын

This method is called compleating the square. You map your current problem on the binomial formula and then use it to simplify the problem. Which she did. I did not watch the video with sound on. Not sure why everyone is so negative in the comments...

@user-qs7pr7kl2j

2 ай бұрын

It's simple school book question in india probably from 8 or 9th grade it's just basic...😂 I didn't expect anything form American but atleast European can do it🤡😂...I guess now a days they are busy in teaching children about gender equality and lgbt😂🤡

Replace by =

Wow, thanks so much

I do not know how much time it would take for me until realizing that 3 - 2sqrt(2) can be easily presented in a form of a^2 - 2ab + b^2. Do mathematicians have a special ability to glance it on the spot when something can be recombined according to the known rule?

@TheMeiravital

10 ай бұрын

I think it is more about having experience and mastery with those tools. In many schools we skip to differentials and integrals before having a solid grasp on foundations of math. It's like they think mathematics was an intellectual desert up until newton and Leibniz. If students are educated to maximize their mathematical tools before learning new ones, they'd know how to solve these problems. (The Israeli school system is worse than the american, we don't even learn completing the square, so we'd have no intuition for solving this kind of problem)

@Jxsh_Lofi

10 ай бұрын

​@@TheMeiravital😂

@Kandralla

10 ай бұрын

​@@TheMeiravital Thank God they did do that otherwise I would have failed math. Memorizing patterns is not as useful as understanding why. ESPECIALLY once you realize that in the real world math never works out nicely like that.

@mnlight8308

10 ай бұрын

I thought I was the only one who had this shitty problem, I had to solve advanced math problems without having enough time to fully memorize algebra formulas due to lockdown. And now everyone is kicking ass

@ArchangelAurora

10 ай бұрын

I think they just saw the same or very similar solutions over and over. I asked my math professor a question before and he solved it by adding 1 to the both sides of the equation. When I asked why would he do something weird like that and he told me that they just get used to this patterns over the years.

Where can find topics like this are they in college

As a Turkish student who studied for university entrance exam, I am really sad that I solved this question like in seconds from my mind.

@egeozel80

10 ай бұрын

So which University did you end up 😬 😁

@vornamenachname906

10 ай бұрын

​@@SunriseLAWroasted

@reinach77

10 ай бұрын

Funny how so many third world students come here to brag about being able to solve this.

@jonavuka

10 ай бұрын

​@@egeozel80hes cleaning washrooms for a living

@omerece5011

6 ай бұрын

In1990ies in ist. muhendislik one of our friend proved a wellkown physics equation's incorrectnessby maths but these kids are smiling on you ,dont worry you're in the right path...

Thanks for lesson, great work

Please give any practical use of learning this?

great stuff

I got the answer as soon as i saw it 😂 i remember 40 years ago my teacher still be asking for the pointless work lol

Answer : root of(3-2root2)=root 2-1

To solve the given expression, we can simplify it step by step: Simplify the square root of 9: v9=3 Simplify the square root of 8: v8=2v2 Substitute the simplified values back into the original expression: v3-2v2 Therefore, the solution to the given expression is v3-2v2

The answer is [2(square root) - 1]

A lot of work while there is simpler shot cut . Where did a and b come from

In Vietnam, normal students can do this test when they are in 9th grade

Bhai as a 9thee Indian this is way too easy for olympiad

Good!

Excelent !!!

Why module of the solution in the end? The solution is already a number and also a positive one.

Where from it came? Totally confused.

"Under root of" = "Root over"

If this is a math-olympiad question, I'm a genius

@eliasbram3710

10 ай бұрын

do you all Know that math olympics have some simple questions here and there to slow participants down and reward faster solutions right? This Its ONE example of such questions. You solve it quickly to have more time to solve the actual problems Good luck with the other questions "genius"

@kjetilho

10 ай бұрын

This shows a technique, it is kept simple to make the point come across more easily. In a real question, this could be one step in the middle.

@novaastronomia8720

6 ай бұрын

you're right: its not a math olympiad question. Clickbait

@user-qs7pr7kl2j

2 ай бұрын

It's simple school book question in india probably from 8 or 9th grade it's just basic...😂 I didn't expect anything form American but atleast European can do it🤡😂...I guess now a days they are busy in teaching children about gender equality and lgbt😂🤡

People commenting it is too simple are unrecognized genius. I wonder why they are wasting their time watching youtube videos. I mean, it is not the hardest question, but it does takes more thinking than a regular polynomial question and corresponds to high school students level

I love mathematics

Nice

Trick is in figuring out the algebraic identity applicable to the Olympiad question

As an Indian, I appeared this question at SOF Mathematics Olympaid in my third grade

@JamesAnderson-lq8tf

10 ай бұрын

I always see Indians in comment section only to brag about themselves. Usually this means a lack of confidence and self-respect. Is India one of the leaders in technology in the world?

It can be root 2 -1 or 1-root 2

Have you forgeten the first root ?

Is 2** 1/2 -1 a simpler form than 3 - 2*2**1/2? Not by much!

She's talking about factoring

Square root of two is not equal to 1.414, it is correct to say "square root of two is approximately 1.414", but equal has a very specific meaning in math, that is not satisfied here.

Nice!

sq root of 8 can be written as sq root 4x2....but the sq root of 8 is 2.82....! u did sq root of 9 as 3....!!

Do you need pen and paper for this ??

Attention : ce sont des égalités pas des implications. Pour rappel, une implication est un connecteur propositionnel.

I solved it mentally.

Is there other way to solve this problem?

I think you should study more about modulus

Why not subtract under root of 8 from under root of 9

Thank you mam

√(√9+√8) =√(3+√8) = √x + √y Then, x+y =3 x-y=1 √2 + √1 *Get it from Carr's synopsis ( book used by ramanujan to self study)

@emankhan6094

Күн бұрын

3+3=6

@emankhan6094

Күн бұрын

3+3= 6

How is that applied?

This came in math Olympiad? Plz can you confirm the you confirm the year and country This is something you can do without even pen paper I don't think any country would lower their standard this much

Pls What happened to the -2√2

The root, the root , the Root is on Fire

Thanks... i am a math tutor from india

Im very weak in math but somehow completed intermediate with 97% in math and completed my engineering a month ago 😂

@AdityaKumar-gv4dj

5 ай бұрын

No one asked

@MUTAA_MESTRI

5 ай бұрын

@@AdityaKumar-gv4dj No one answered you! Saala

Nice 😊