08 - Rules to Multiply & Divide Radicals in Algebra (Simplifying Radical Expressions)

View more at www.MathTutorDVD.com.
In this lesson, you will learn the rules that are needed to multiply and divide radical expressions in algebra. This is made much easier now that we have covered that fact that all radicals are really fractional exponents.
Because of this, all of the rules to multiply and divide radicals are really the same rules that we use to multiply and divide exponents.

Пікірлер: 149

  • @LCC2731
    @LCC27313 жыл бұрын

    This guy is underrated. These rules are super important as you move to calculus and most people don't understand them. Thanks for the vid

  • @user-qy6tu9ip9v

    @user-qy6tu9ip9v

    3 жыл бұрын

    Hey buddy. Could you possibly write down a list of skills that I should know from pre-calculus so I can do well in calculus. I don't mean to bother you.

  • @LCC2731

    @LCC2731

    3 жыл бұрын

    @@user-qy6tu9ip9v Everyone's experience will be different; therefore, take these suggestions with an open mind. Three main things I wish someone had told me before taking Calculus 1 would be; first know the Unit Circle values exceptionally well. Memorizing the unit circle values will make your calculus experience considerably easier and save you time on homework and exams. The second tip I would offer, which is often overlooked, would be to strengthen your algebra skills as much as possible, especially simplifying rational expressions, rationalizing the numerator/ denominator, and exponent rules. Overall, having a solid foundation in algebra will make Average Rate of Change, limits, and chain rule problems, just to name a few, much easier. Lastly, knowing the graphs and aspects of common functions such as f(x)=squarootx, f(x)=x^3, f(x)=ln(x), f(x)= e^x, and any other common functions will make your life easier in Calc 1, because you will work with these graphs quite often throughout the course. Especially when you start working with extreme values, concavity, and inflection points.

  • @joeanderson2024

    @joeanderson2024

    3 жыл бұрын

    @@user-qy6tu9ip9v working off @Lamond first point, you will have to know the radian measurement for the main angles for trig (0*,30*,45*,60*,90*). I’m using * as a degree symbol since there isn’t a degree symbol on a keyboard They are sin0*=0, sin30*=1/2, sin45*=√(2)/2, sin60*=√(3)/2, and sin90*=1 Cos of angles (0*,30*,45*,60*,90*) is the same as sin (90*,60*,45*,30*,0*) respectively I could never remember the table because the numbers (1/2 and √(3)/2, for example) don’t make sense because they don’t really have a pattern, some have square roots, som don’t. That’s the biggest reason I failed trig. I later learned all of them have square roots, Sin (0*,30*,45*,60*,90*)=√(0)/2=0/2=0,√(1)/2=1/2,√(2)/2,√(3)/2,√(4)/2=2/2=1 respectively Cos(90*,60*,45*,30*,0*)=√(4)/2=2/2=1,√(3)/2,√(2)/2,√(1)/2=1/2,√(0)/2=0/2=0 respectively Seems very easy when somebody tells you but not something you would think about on you own.

  • @user-qy6tu9ip9v

    @user-qy6tu9ip9v

    3 жыл бұрын

    @@joeanderson2024 So all I really need to know is the first quadrant.

  • @JarodM

    @JarodM

    3 жыл бұрын

    Agreed~👍

  • @yuryverduga3945
    @yuryverduga39453 жыл бұрын

    This guys is actually the best math tutor because of THE MEANING behind the math that other youtube math tutors aren't teaching

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    @kingtriplebbb5347

    3 жыл бұрын

    Aman.

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    @bernalesjames9110

    2 жыл бұрын

    cap sassy baka

  • @frostedolive4969

    @frostedolive4969

    Ай бұрын

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  • @michaelcastrillo3189
    @michaelcastrillo31893 жыл бұрын

    I absolutely love your teaching style. So many concepts I have memorized throughout the years without ever truly understanding what was going on. Thank you so much for explaining these things in the way you do. I honestly feel like you're one of the best teachers Ive ever seen, in person or online.

  • @jessicaowens7592

    @jessicaowens7592

    2 жыл бұрын

    Agreed.

  • @emmanueltjohnson7149

    @emmanueltjohnson7149

    2 жыл бұрын

    Actually dustering my brain.

  • @SoulSearch11110

    @SoulSearch11110

    8 ай бұрын

    At least you memorized them. 😂 Hopefully I'll improve myself

  • @nikki6756
    @nikki675610 ай бұрын

    As someone who had returned to school after 20 years in my current industry to finish my BA, I must say how invaluable your videos have become to me. Last i was in school, youtube wasn't a thing and I struggled so much back then. I literally want to cry from relief because you have made this so much easier to understand. I opened my math book and almost gave up. I couldn't get any of this and suddenly i was 19 again and walking away from school. But I'm trying harder than i ever tried with math and I'm finally getting it. Thank you from the middle age student who needed this so bad. Thank you!

  • @belindar-s9034

    @belindar-s9034

    3 ай бұрын

    Me toooo!!! Good luck! Not an easy thing to do!

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    @frostedolive4969

    Ай бұрын

    imagine returning to schol u stupid person

  • @MYfriendsknow
    @MYfriendsknow2 жыл бұрын

    YOU deserve the Nobel Peace Prize for teaching!!!! Watched a thousand videos and all of yours are the best. Thank you!

  • @Veziahh
    @Veziahh3 жыл бұрын

    What an experienced teacher! he uses hand motions to explain to his viewers.

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    @gameliadeti29672 жыл бұрын

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  • @225rip
    @225rip3 жыл бұрын

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  • @michaelkruppenbacher1711
    @michaelkruppenbacher17118 ай бұрын

    This is amazing. Better than any teacher I've ever had. Thank you

  • @stuckntheclouds
    @stuckntheclouds3 жыл бұрын

    You're such a patient teacher. :) Thank you!

  • @Max47340
    @Max473403 жыл бұрын

    Awesome video on radicals! I finally understand these damn things! Thank you sir.

  • @lukemanforgah1105
    @lukemanforgah11054 жыл бұрын

    Absolutely phenomenal video.

  • @leslieixen4208
    @leslieixen42083 жыл бұрын

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  • @godlytrusted5957
    @godlytrusted59577 күн бұрын

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  • @belindar-s9034
    @belindar-s90343 ай бұрын

    These videos help me more than any math teacher I had all through school!! Thank you!

  • @dertalexhien2077
    @dertalexhien2077 Жыл бұрын

    Sir, thanks. By the way, you always let one bear in mind how much everyone wasn't born with math. You're honest!

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    @bakytkamchybekovichstndv1440 Жыл бұрын

    Thank you for your absolutely unique math videos.

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    @jazmynephillips75664 жыл бұрын

    My favorite KZread teacher, wish you where my teacher growing up lol

  • @jbstepke3
    @jbstepke3 Жыл бұрын

    I just love the way he explains things, easy to understand! Made my life easier! Thank you!

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    You are very welcome!

  • @POMMI
    @POMMI4 жыл бұрын

    Mathematics teachers know this! Thanks for the clear explanation! Im doing the same thing in my channel! Thanks for sharing

  • @jaaayare4996
    @jaaayare49963 жыл бұрын

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  • @rorandkandjeke-hz2qf
    @rorandkandjeke-hz2qf3 ай бұрын

    i realy love this teaching style it makes me understand much more

  • @Ayalt61
    @Ayalt612 жыл бұрын

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  • @aa-ng4ot
    @aa-ng4otАй бұрын

    Extremely useful video. Thank you so much!

  • @malviyagirl
    @malviyagirl3 жыл бұрын

    love all your videos!!!

  • @princesscoleensantos1210
    @princesscoleensantos12102 жыл бұрын

    Such a great help! Thank you so much 💕

  • @canadianRadio
    @canadianRadio Жыл бұрын

    I want to be a math and science teacher one day, and you are a serious inspiration to me. Thank you.

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    What a nice comment. Thank you!

  • @236ar
    @236ar4 жыл бұрын

    I understand this perfectly thank you sir

  • @leslielangaylangay9295
    @leslielangaylangay92953 жыл бұрын

    I love your videos, keep it up Sir!

  • @mrchenschineseclass
    @mrchenschineseclass2 жыл бұрын

    Thank you Sir. You are truly amazing!

  • @albertomartin70
    @albertomartin704 жыл бұрын

    Anyone looking for “Saul Alinsky Rules for Radicals” and end up here thanks to KZread’s PC filter? 😂

  • @halmoujahed
    @halmoujahed Жыл бұрын

    Thank you so much ...from Syria

  • @FranklinVan-of6yd
    @FranklinVan-of6yd4 ай бұрын

    Thanks for helping me with my math

  • @justineberioso3632
    @justineberioso36323 жыл бұрын

    MINDBLOWN

  • @richardhallahfarkollie4345
    @richardhallahfarkollie43453 жыл бұрын

    Thank you for making me to understand readical,

  • @vijaykarena3388
    @vijaykarena33882 жыл бұрын

    Awesome dear brother... Love you so much 🤩🤩

  • @googleuser7945
    @googleuser7945 Жыл бұрын

    Excellent. Watching for the third time now

  • @baskarv7975
    @baskarv7975 Жыл бұрын

    you are really Great God Blessed You :) Love you from India :)

  • @ethiopiamovies1289
    @ethiopiamovies1289 Жыл бұрын

    BEST TEACHER

  • @navalkumarverma9589
    @navalkumarverma958910 ай бұрын

    Sir you are teaching in very well way

  • @sachinambike4574
    @sachinambike45743 жыл бұрын

    THANK YOU!!!!

  • @glenwardgross366
    @glenwardgross3668 ай бұрын

    I do not know your name but (name) your are awesome... You explain stuff like I do. Where ever you teach at other then on KZread. I hope they appreciate you because you are an awesome teacher.

  • @lauren9004
    @lauren90047 ай бұрын

    Thank you!

  • @EM-wd8wq
    @EM-wd8wq5 жыл бұрын

    This Guy, Is the greatest man in the World. Period

  • @MathAndScience

    @MathAndScience

    5 жыл бұрын

    I really appreciate it! Jason, MathAndScience.com

  • @shesadiamond5167
    @shesadiamond51674 жыл бұрын

    Thank you

  • @twostormy
    @twostormy Жыл бұрын

    This really helped me a lot thx

  • @rabiyaahmad437
    @rabiyaahmad4373 жыл бұрын

    Really sir very impressive explanation 👍👍👍👍 From india

  • @leapsom3471
    @leapsom34713 жыл бұрын

    I always go to school again with you even though i am far away from school almost 30 years ago

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    @r.myadav59564 жыл бұрын

    Nice teachings

  • @Rasha.Hussein44
    @Rasha.Hussein44 Жыл бұрын

    Hi do you have any advice on college algebra clep and how to prepare for it !!

  • @mohdmusabusmani2654
    @mohdmusabusmani26542 жыл бұрын

    Nice explanation Love from INDIA 😎😎😎

  • @clover..H
    @clover..H2 жыл бұрын

    Your channel is very helpful 🍀

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thank you!

  • @hanifullah3408
    @hanifullah34082 жыл бұрын

    You are great sir

  • @tresajessygeorge210
    @tresajessygeorge210 Жыл бұрын

    THANK YOU... SIR...!!!

  • @niceguy4801
    @niceguy48013 жыл бұрын

    Thankyou a lot sir!

  • @tacosyogan9914
    @tacosyogan99142 ай бұрын

    Super Teacher in action!

  • @celestinahutchinson7237
    @celestinahutchinson7237 Жыл бұрын

    Explanation very clear

  • @MathAndScience

    @MathAndScience

    Жыл бұрын

    Glad you liked it

  • @Veziahh
    @Veziahh3 жыл бұрын

    Istg my school thinks we already know this like they skipped this lesson. Thank u!

  • @allaroundervideoshort6447
    @allaroundervideoshort64474 жыл бұрын

    Thanks for yuu

  • @abx4t
    @abx4t Жыл бұрын

    I have a question. If 2^3 x 2^3 = 2^6 then why would a fractional exponent not be added? like for example @10:27 2^1/3 x 2^1/3 should = 2^2/3, no? I mean multiplying exponents we add... and 1/3 + 1/3 = 2/3, no?

  • @averagehooligan620
    @averagehooligan620 Жыл бұрын

    I like your channel.

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    @trycatchlearn4 жыл бұрын

    you are awesome.

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    @tavi_elli3 жыл бұрын

    Amazing

  • @kamlesharya6955
    @kamlesharya69552 жыл бұрын

    Thanks sir

  • @shnoqadr372
    @shnoqadr3724 жыл бұрын

    Thanks for you

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Welcome!

  • @magedx7059
    @magedx70598 ай бұрын

    Awesome

  • @williamjayaraj2244
    @williamjayaraj22444 жыл бұрын

    Excellent teaching. Thank you sir.

  • @mousquetaire86
    @mousquetaire866 ай бұрын

    Love the thumbnail! I wonder how many people will get the reference ;)

  • @ArtClaux
    @ArtClaux3 жыл бұрын

    One of the best teachers!

  • @wagneribanez2
    @wagneribanez24 жыл бұрын

    Thank God I've learned english to be able to watch this the phenomenal class. Thanks a lot

  • @mathfullyexplained

    @mathfullyexplained

    3 жыл бұрын

    Try my channel mathfullyexplained. Many topics that can help you succeed

  • @StoryTeller796
    @StoryTeller79611 ай бұрын

    Before I watch this video, here's my theory as to how radicals work. They basically have the same relationship with division that powers have with multiplication, with some extra rules because reducing and multiplying something is much harder than simply adding or subtracting it (the number 0's multiple paradox's or complications can attest to the court of that along with negatives). Yeah, that makes sense when you put it that way, fractional exponents. What negatives are to positives and fractions to multiplication. Now time to simplify the concept and break it down.

  • @rhee12g
    @rhee12g2 жыл бұрын

    Thank you so much

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Welcome!

  • @Juan-yj2nn
    @Juan-yj2nn3 жыл бұрын

    Hey. I think a good way of explaining the very first rule would be to say: Well, you know, saying that √ab = √a * √b is literally saying that this number (√a * √b), when squared, gives you ab, right? So if you square it, you have (√a * √b)²= (√a)² * (√b)² = a * b = ab. And there you go :) Of course, this only works if both, a and b, are positives or equal to zero. Be careful! PD: The square root, denoted as √, means "POSITIVE square root". So you also have to have that √a * √b is a POSITIVE such that when squared it gives you ab, as we have shown.

  • @joeanderson2024

    @joeanderson2024

    3 жыл бұрын

    How do you get the exponent up like that. I al do 2^2 as 2 squared. It gets very confusing if you have an exponent such as (2/8)+3

  • @reginaacod940
    @reginaacod9403 жыл бұрын

    Make a video about properties of radicals

  • @arundarksiderise6816
    @arundarksiderise68162 жыл бұрын

    Smby give me the link to the playlist pls

  • @damon123jones
    @damon123jones2 жыл бұрын

    good job, and thankyou. I find radicals are brain bending

  • @eccentricaste3232
    @eccentricaste323211 ай бұрын

    Wow! Amazing. Didn't know it was commutative. Where do i sign up?

  • @newtao8384
    @newtao83842 жыл бұрын

    Hi from Brazil! What can i do to symplify/solve when i have something like √(2- ∛5)?

  • @eccentricaste3232

    @eccentricaste3232

    11 ай бұрын

    The answer is in decimal.

  • @brightonchou1393
    @brightonchou13934 жыл бұрын

    people in what country write radical sign that way?

  • @edmundtrebus4084
    @edmundtrebus40842 жыл бұрын

    legend

  • @diamond-heart21
    @diamond-heart21 Жыл бұрын

    21:00

  • @MYfriendsknow
    @MYfriendsknow2 жыл бұрын

    I already watched on another device - just came here to "like" the video.

  • @kontraz3061
    @kontraz30612 ай бұрын

    1:49

  • @domaidomai8057
    @domaidomai80574 жыл бұрын

    makes sense!

  • @deeanstefan9856
    @deeanstefan98565 жыл бұрын

    I really enjoy your videos, they offer great insight into how things actually work, which makes math more enjoyable. Keep it up buddy! Do you have any videos on how a quadratic equation with parameters such as x^2-kx+k+3 can be solved? Or rather what you are suposed to do with them , or understand them in general .

  • @mathfullyexplained

    @mathfullyexplained

    3 жыл бұрын

    Try my channel mathfullyexplained. Many units on quadratics. Unit on discriminant in alg 2 has parameters of k

  • @lucascookson4520
    @lucascookson45202 жыл бұрын

    him: ok lets add 1 more here because I like even numbers *jots down a 5*

  • @itzzkundan
    @itzzkundan3 жыл бұрын

    I have a question in mind. Why the laws of exponents do not work properly for the base belongs to negative real numbers. For example: (-2)^(12÷4) = (-2)^(3) = -8 we know that. But what if do it by laws of exponents, (-2)^(12÷4) = ((-2)^(12))^(1÷4) = (4096)^(1÷4) = 8

  • @itzzkundan

    @itzzkundan

    3 жыл бұрын

    Another question, my scientific calculator showing that , 3√(-8) = -2 And also it is showing (-8)^(1÷3) = 2 × 3√(-1) = final in expanded form it is complex number. Really confused for these negative bases. And I know about exponential functions also in detail. Base cannot be negative etc. So don't give that damn answer. Just give me logical answer if possible. Or make a video on it if possible. Thank you.. Kundan from India 🙏

  • @mathfullyexplained

    @mathfullyexplained

    3 жыл бұрын

    Even exponents of Negative numbers are positive. Your example does not work. Exponent rules apply to positive bases. Try my channel mathfullyexplained

  • @sannahtabassum8282
    @sannahtabassum82823 жыл бұрын

    Hats off sir.....

  • @mathfullyexplained

    @mathfullyexplained

    3 жыл бұрын

    Try my channel mathfullyexplained. Many topics that can help you succeed

  • @vascobishop3359
    @vascobishop33595 ай бұрын

    What happened Jason? Is there a 5 shadow in the equations?

  • @rhee12g
    @rhee12g2 жыл бұрын

    Literally why can't my teachers be like that

  • @trespilapilill4728
    @trespilapilill47283 жыл бұрын

    This save me from my math teacher

  • @mathfullyexplained

    @mathfullyexplained

    3 жыл бұрын

    Try my channel mathfullyexplained. Many topics that can help you succeed

  • @pensivevalues1949
    @pensivevalues19492 жыл бұрын

    Smh, this man is not a human

  • @user-ce6ig1tv3k
    @user-ce6ig1tv3k7 ай бұрын

    If this also applies to subtraction, you can find proof that i = -1

  • @thatomofolo452
    @thatomofolo452 Жыл бұрын

    Hi hello y'all 👋👋

  • @prem-gm5tv
    @prem-gm5tv2 жыл бұрын

    Aap ka country kya hai

  • @angelojustinezaraspe9214
    @angelojustinezaraspe92144 жыл бұрын

    Why does Brian Mclogan not bald in this video? HAHAHAHA

  • @AmanSingh-or6yf

    @AmanSingh-or6yf

    3 жыл бұрын

    Why does you not look fat in your photo

  • @59gamers56
    @59gamers562 жыл бұрын

    Go for physics wallah Alakh Pandey

  • @andra8367
    @andra83674 жыл бұрын

    Just use the numbers please. For my very confused mind cannot make a number out of a letter...sigh.

  • @ok-hf3ww
    @ok-hf3ww2 жыл бұрын

    Dude you look like Joey from full house

  • @that1Monkey_
    @that1Monkey_2 ай бұрын

    They need to stop "throwing" properties at kids 😭