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

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  • čas přidán 13. 05. 2019
  • View more at www.MathTutorDV....
    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.

Komentáře • 152

  • @LCC2731
    @LCC2731 Před 3 lety +93

    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 Před 3 lety +4

      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 Před 3 lety +10

      @@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 Před 3 lety +4

      @@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 Před 3 lety

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

    • @JarodM
      @JarodM Před 3 lety

      Agreed~👍

  • @yuryverduga3945
    @yuryverduga3945 Před 3 lety +40

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

  • @michaelcastrillo3189
    @michaelcastrillo3189 Před 3 lety +66

    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.

  • @nikki6756
    @nikki6756 Před 11 měsíci +5

    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!

  • @MYfriendsknow
    @MYfriendsknow Před 2 lety +3

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

  • @Veziahh
    @Veziahh Před 3 lety +8

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

  • @Max47340
    @Max47340 Před 3 lety +10

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

  • @gameliadeti2967
    @gameliadeti2967 Před 3 lety +3

    I love the way this man teaches because, i understand almost everything he has been teaching

  • @225rip
    @225rip Před 3 lety +6

    Great, you always go the extra step to explain everything.

  • @godlytrusted5957
    @godlytrusted5957 Před měsícem

    You are out of this world continue with the good work may the almighty God bless you

  • @michaelkruppenbacher1711
    @michaelkruppenbacher1711 Před 10 měsíci +1

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

  • @stuckntheclouds
    @stuckntheclouds Před 3 lety +5

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

  • @dertalexhien2077
    @dertalexhien2077 Před 2 lety +1

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

  • @lukemanforgah1105
    @lukemanforgah1105 Před 4 lety +8

    Absolutely phenomenal video.

  • @belindar-s9034
    @belindar-s9034 Před 4 měsíci

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

  • @sapoman01
    @sapoman01 Před měsícem +1

    Thank you for the video. It's awesome I learned A LOT

  • @leslieixen4208
    @leslieixen4208 Před 3 lety +2

    Love your teaching style. So easy to understand.

  • @jbstepke3
    @jbstepke3 Před rokem +1

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

  • @canadianRadio
    @canadianRadio Před rokem +1

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

  • @bakytkamchybekovichstndv1440

    Thank you for your absolutely unique math videos.

  • @jazmynephillips7566
    @jazmynephillips7566 Před 4 lety +8

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

  • @aa-ng4ot
    @aa-ng4ot Před 2 měsíci

    Extremely useful video. Thank you so much!

  • @albertomartin70
    @albertomartin70 Před 4 lety +13

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

  • @POMMI
    @POMMI Před 4 lety +4

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

  • @rorandkandjeke-hz2qf
    @rorandkandjeke-hz2qf Před 5 měsíci

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

  • @FranklinVan-of6yd
    @FranklinVan-of6yd Před 5 měsíci

    Thanks for helping me with my math

  • @Ayalt61
    @Ayalt61 Před 2 lety

    OMG I LOVE YOU SO MUCH. You're a hero for sure !!!!!! so well explained like in every detail. THANK YOU SO MUCH ❤

  • @EM-wd8wq
    @EM-wd8wq Před 5 lety +3

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

    • @MathAndScience
      @MathAndScience  Před 5 lety +3

      I really appreciate it!
      Jason, MathAndScience.com

  • @jaaayare4996
    @jaaayare4996 Před 3 lety

    Yo why do I like learning all of a sudden...I think I found my love for learning again thank you man

  • @236ar
    @236ar Před 4 lety +2

    I understand this perfectly thank you sir

  • @malviyagirl
    @malviyagirl Před 3 lety +1

    love all your videos!!!

  • @bravikumar8950
    @bravikumar8950 Před 16 dny

    Good explanation 👍👍👍

  • @tacosyogan9914
    @tacosyogan9914 Před 3 měsíci

    Super Teacher in action!

  • @glenwardgross366
    @glenwardgross366 Před 9 měsíci

    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 CZcams. I hope they appreciate you because you are an awesome teacher.

  • @ethiopiamovies1289
    @ethiopiamovies1289 Před rokem +1

    BEST TEACHER

  • @halmoujahed
    @halmoujahed Před rokem

    Thank you so much ...from Syria

  • @mousquetaire86
    @mousquetaire86 Před 7 měsíci

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

  • @richardhallahfarkollie4345

    Thank you for making me to understand readical,

  • @navalkumarverma9589
    @navalkumarverma9589 Před rokem

    Sir you are teaching in very well way

  • @baskarv7975
    @baskarv7975 Před 2 lety

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

  • @googleuser7945
    @googleuser7945 Před rokem

    Excellent. Watching for the third time now

  • @StoryTeller796
    @StoryTeller796 Před rokem

    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.

  • @namylove
    @namylove Před 23 dny

    Thank you

  • @lauren9004
    @lauren9004 Před 8 měsíci

    Thank you!

  • @r.myadav5956
    @r.myadav5956 Před 4 lety +1

    Nice teachings

  • @vijaykarena3388
    @vijaykarena3388 Před 2 lety

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

  • @abx4t
    @abx4t Před rokem

    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?

  • @Juan-yj2nn
    @Juan-yj2nn Před 3 lety

    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 Před 3 lety +1

      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

  • @leapsom3471
    @leapsom3471 Před 3 lety

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

  • @mrchenschineseclass
    @mrchenschineseclass Před 2 lety

    Thank you Sir. You are truly amazing!

  • @reginaacod940
    @reginaacod940 Před 3 lety +1

    Make a video about properties of radicals

  • @Veziahh
    @Veziahh Před 3 lety +1

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

  • @allaroundervideoshort6447

    Thanks for yuu

  • @princesscoleensantos1210

    Such a great help! Thank you so much 💕

  • @rabiyaahmad437
    @rabiyaahmad437 Před 3 lety

    Really sir very impressive explanation 👍👍👍👍
    From india

  • @sachinambike4574
    @sachinambike4574 Před 4 lety +1

    THANK YOU!!!!

  • @clover..H
    @clover..H Před 2 lety

    Your channel is very helpful 🍀

  • @averagehooligan620
    @averagehooligan620 Před rokem

    I like your channel.

  • @shnoqadr372
    @shnoqadr372 Před 4 lety +1

    Thanks for you

  • @celestinahutchinson7237

    Explanation very clear

  • @mohdmusabusmani2654
    @mohdmusabusmani2654 Před 3 lety

    Nice explanation
    Love from INDIA 😎😎😎

  • @twostormy
    @twostormy Před rokem

    This really helped me a lot thx

  • @eccentricaste3232
    @eccentricaste3232 Před rokem

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

  • @justineberioso3632
    @justineberioso3632 Před 3 lety

    MINDBLOWN

  • @leslielangaylangay9295

    I love your videos, keep it up Sir!

  • @tresajessygeorge210
    @tresajessygeorge210 Před rokem

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

  • @kamlesharya6955
    @kamlesharya6955 Před 2 lety

    Thanks sir

  • @Rasha.Hussein44
    @Rasha.Hussein44 Před rokem

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

  • @hanifullah3408
    @hanifullah3408 Před 2 lety

    You are great sir

  • @magedx7059
    @magedx7059 Před 9 měsíci

    Awesome

  • @diamond-heart21
    @diamond-heart21 Před rokem

    21:00

  • @niceguy4801
    @niceguy4801 Před 3 lety

    Thankyou a lot sir!

  • @kontraz3061
    @kontraz3061 Před 3 měsíci

    1:49

  • @itzzkundan
    @itzzkundan Před 3 lety

    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 Před 3 lety

      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 Před 3 lety

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

  • @williamjayaraj2244
    @williamjayaraj2244 Před 4 lety +1

    Excellent teaching. Thank you sir.

  • @rhee12g
    @rhee12g Před 3 lety

    Thank you so much

  • @vascobishop3359
    @vascobishop3359 Před 6 měsíci

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

  • @newtao8384
    @newtao8384 Před 3 lety

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

  • @MYfriendsknow
    @MYfriendsknow Před 2 lety

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

  • @ArtClaux
    @ArtClaux Před 3 lety

    One of the best teachers!

  • @damon123jones
    @damon123jones Před 3 lety

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

  • @wagneribanez2
    @wagneribanez2 Před 4 lety

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

    • @mathfullyexplained
      @mathfullyexplained Před 3 lety

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

  • @tavi_elli
    @tavi_elli Před 3 lety

    Amazing

  • @arundarksiderise6816
    @arundarksiderise6816 Před 2 lety

    Smby give me the link to the playlist pls

  • @deeanstefan9856
    @deeanstefan9856 Před 5 lety +2

    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 Před 3 lety

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

  • @edmundtrebus4084
    @edmundtrebus4084 Před 2 lety

    legend

  • @brightonchou1393
    @brightonchou1393 Před 4 lety

    people in what country write radical sign that way?

  • @trycatchlearn
    @trycatchlearn Před 4 lety

    you are awesome.

  • @andra8367
    @andra8367 Před 4 lety +1

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

  • @domaidomai8057
    @domaidomai8057 Před 4 lety +1

    makes sense!

  • @user-ce6ig1tv3k
    @user-ce6ig1tv3k Před 9 měsíci

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

  • @prem-gm5tv
    @prem-gm5tv Před 2 lety +1

    Aap ka country kya hai

  • @lucascookson4520
    @lucascookson4520 Před 2 lety

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

  • @rhee12g
    @rhee12g Před 3 lety

    Literally why can't my teachers be like that

  • @sannahtabassum8282
    @sannahtabassum8282 Před 3 lety

    Hats off sir.....

    • @mathfullyexplained
      @mathfullyexplained Před 3 lety

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

  • @TheRandomMan000
    @TheRandomMan000 Před 3 lety

    This save me from my math teacher

    • @mathfullyexplained
      @mathfullyexplained Před 3 lety

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

  • @angelojustinezaraspe9214

    Why does Brian Mclogan not bald in this video? HAHAHAHA

  • @pensivevalues1949
    @pensivevalues1949 Před 2 lety +1

    Smh, this man is not a human

  • @thatomofolo452
    @thatomofolo452 Před rokem

    Hi hello y'all 👋👋

  • @59gamers56
    @59gamers56 Před 2 lety

    Go for physics wallah Alakh Pandey