Rationalize the Denominator and Simplify With Radicals, Variables, Square Roots, Cube Roots, Algebra

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  • Опубліковано 28 січ 2025

КОМЕНТАРІ • 217

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +6

    Radicals - Free Formula Sheet: bit.ly/48lpFLt
    Radical Functions - More Videos: www.video-tutor.net/radical-functions.html

  • @rosalindmarfo8750
    @rosalindmarfo8750 7 років тому +827

    You know you're screwed when good ol' Organic Chemistry Tutor can't help ya now....

    • @whimsicalpolaris5751
      @whimsicalpolaris5751 5 років тому +28

      Lol ikr

    • @meleseadugnaye8168
      @meleseadugnaye8168 3 роки тому +19

      because you didn't like maths.

    • @lemon-vy3mj
      @lemon-vy3mj 2 роки тому +5

      FR

    • @Esc4me
      @Esc4me 2 роки тому +18

      Honestly I cycle through his videos and a few others until I start to get at least an idea on how to approach an equation. I usually end up with something.

    • @ninjacactus3553
      @ninjacactus3553 2 роки тому +1

      F

  • @RoyceThomas-n8f
    @RoyceThomas-n8f Рік тому +15

    This guy has taught me more in the span of 3 yt videos (about 30 min) than I have learned in the past 2 months(I am doubled up in math too)

  • @emmanuelmorales1347
    @emmanuelmorales1347 6 років тому +65

    Thanks for your help. I looked at my textbook examples and they weren't as detailed as your examples. Now I understand them thanks to you. Great video!

  • @VDGOAT3
    @VDGOAT3 Рік тому +21

    I got 95% on my test after this
    This means so much , thx

  • @jln_ily
    @jln_ily 3 роки тому +23

    Sir!! Thank you for your EXISTENCE!!! 🎉🎉🎉👏

  • @dannnnydannnn5201
    @dannnnydannnn5201 3 роки тому +7

    I'm scheduled to take a math placement test on Monday at 6:00pm and right now it's Friday 7:30pm. The online course I paid for has mistakenly blocked my access to the course and can't seem to figure out what's going on in my account. Out of the 10 weeks I paid for, I've only been able to use it consistently for maybe half that time.
    You are really helping me learn a lot of these concepts and I appreciate your channel a lot man.

  • @williamrawa7952
    @williamrawa7952 3 роки тому +20

    You make so much more sense than my teacher. Thank you so much.

    • @kishok2180
      @kishok2180 2 роки тому

      😅😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊

  • @kenzaelaissi65
    @kenzaelaissi65 6 років тому +5

    I have a midterm this morning and just realised when revising before i go that i have a problem with rationalising the dominator, thank you for saving me

  • @rosem3646
    @rosem3646 Рік тому +8

    Thank you! This was very helpful; not only with the explanations but because you made us practice at the same time. Loved it

  • @michaelbanks1000
    @michaelbanks1000 5 років тому +52

    √8/4 can be reduced further. √4√2/4= 2√2/4= √2/2

  • @luxe.gaming.v2
    @luxe.gaming.v2 2 роки тому +3

    YOU LITERALLY SAVE ME EVERYDAY I LOVE YOU SO MUCH

  • @lovecatpiecares6518
    @lovecatpiecares6518 6 років тому +23

    tomorrow in our country will be the math exam... and i'm a little confused of rationalizing the denominator.. and then an idea popped in my head... i need to watch some tutorials, and i found this! well it help a lot!! so thank you very much!! AND i said to myself "hmm, what if i watch another video to this channel?" so yeah! i really watch another and it help too!! thank so much!!!!!!!!!

  • @butterflytobe1013
    @butterflytobe1013 4 роки тому +3

    You've solution to my every problem 👁️♥️

  • @chilimilky1162
    @chilimilky1162 6 років тому +9

    Thank you for giving us these videos!😉😉 I hope you won't stop being a hero by saving our grades in Math!!!😂😂😂😂

  • @bobprottas3568
    @bobprottas3568 8 років тому +86

    On page 1 you need to simplify SQRT(8)/4 to SQRT(2)/2.
    On page 2 you need to simplify 2SQRT(4x)/x to 4SQRT(x)/x.

    • @bob13513
      @bob13513 2 роки тому +4

      Legend holds this guy is actually a chemistry TEACHER they call him The Butcher.

  • @believerslifexpress9019
    @believerslifexpress9019 2 роки тому

    Thank you for teaching me a lot of things from South Sudan ( Africa)

  • @vibewithkaey4269
    @vibewithkaey4269 4 роки тому +2

    u literally solved so many of my problems god bless u

  • @bupe.m.2215
    @bupe.m.2215 4 роки тому +42

    I'm jxt here to save my grades😁

  • @jesdeletion205
    @jesdeletion205 6 років тому +134

    Some of your examples are not fully simplified, so a professor/teacher will count them as being incorrect. sqrt of 8 divided by 4 equals sqrt of 2 divided by 2

    • @سارهعبدالمحسنرويشدالعنزي
      @سارهعبدالمحسنرويشدالعنزي 6 років тому

      Jes Deletion he. Couldn’t simplify the top two examples because it is five and seven they are not even numbers to simplify

    • @jesdeletion205
      @jesdeletion205 6 років тому +19

      @@سارهعبدالمحسنرويشدالعنزي What? I said some of his examples, not all of them. I'm not sure what you are trying to explain.

    • @keathlyeguia9572
      @keathlyeguia9572 6 років тому +7

      I agree with you sir. Thanks for clearing it up

    • @jinnip
      @jinnip 5 років тому +7

      Right? I was momentarily confused before I realized they just didn't simplify fully.

    • @iggygizmo5889
      @iggygizmo5889 4 роки тому +3

      I thought my answer is wrong, thank you for the clarification

  • @tutorials_with_mateyo
    @tutorials_with_mateyo 3 роки тому +17

    Tutorial's are still helpful till date👏🏽... I guess knowledge is the only definite thing which can never be taken away from oneself.. thank you🙏🏽

  • @nadeemkhalil327
    @nadeemkhalil327 5 років тому +4

    I swear you're better then half of the teacher i met in my life

  • @SSashesofthewake
    @SSashesofthewake 3 роки тому +3

    I will have your children to repay you for this Mr. Organic Chemistry Teacher.

  • @rojjeen4493
    @rojjeen4493 4 роки тому +1

    3:37 , can be simplified further in the second example , is the answer (4sqrx/x )

  • @biancamontalbo6378
    @biancamontalbo6378 5 років тому +6

    √8/4 can be √4•2/4 then it will be 2√2/4 simplify √2/2 that’s the final answer in 1:55

  • @hanisyahira9091
    @hanisyahira9091 3 роки тому

    THANK YOU I LITERALLY WATCH FOR 50 SECONDS AND U HELP ME FIGURE OUT MY FIRST QUESTION😭😭

  • @ambition150
    @ambition150 Рік тому

    Your videos are the best you make it easy😇

  • @jeiogogolin5796
    @jeiogogolin5796 6 років тому +3

    Pleasw create more tutorials about this topic pleaseeee. Please give some examples on how to rationalize when radicals is on the numerator.. Thank you!

    • @n1vr132
      @n1vr132 6 років тому

      You dont have to rationalize the numerator, just the denominator. Research more on why we even rationalize denominators. I think there were 3 things that should be considered

  • @sauyantrinityauyeung10e54
    @sauyantrinityauyeung10e54 Рік тому

    Thank you so much you literally saved my life

  • @HarryInShape
    @HarryInShape Рік тому

    Grace a toi, je comprends tout maintenant

  • @ariezm6433
    @ariezm6433 4 роки тому +1

    😱 I got the past one right. Wednesday will be tough hope this help 🤦

  • @squishy1523
    @squishy1523 4 роки тому

    take subscibe you have been helping me since 6th grade

  • @Crashoutgavin
    @Crashoutgavin Рік тому

    Better teacher than my teacher fr

  • @kamilaa1
    @kamilaa1 Рік тому +3

    THIS HELPED SO MUCH! THANK YOU

  • @luisrafaelgabriel9290
    @luisrafaelgabriel9290 3 роки тому +1

    thankyou for this sir! finding this like I'm lucky 🙌❤

  • @abulkhayrabdulbasit569
    @abulkhayrabdulbasit569 5 років тому +1

    Thank you for this video, I think I learned a lot. Now Im ready for my exam tomorrow.

  • @GeraldShaputu
    @GeraldShaputu Рік тому

    Great video!

  • @kerrysong6538
    @kerrysong6538 4 роки тому

    thank you! this helped a lot and i have a math test tomorrow :)

  • @andrewmartsch
    @andrewmartsch 3 роки тому +4

    Square roots are easy to rationalize. I just completely forgot how to do cube root and above.

  • @abidahussain4688
    @abidahussain4688 6 років тому +3

    This is so helpful thank you 😊

  • @shafeemahmood3734
    @shafeemahmood3734 5 років тому +8

    1:55 isn’t completely simplified it would be the square root of 2 all over 2. Square root of 8 is 2 times the square root of 2. If you divide that by 4 the fraction can be simplified furthrr

    • @ISRAEL_PULLA11
      @ISRAEL_PULLA11 4 роки тому

      Big Apple United really when?

    • @AbdHKFx
      @AbdHKFx 4 роки тому

      Oh sorry, square root 4 is 2
      Cube root 8 is 2

    • @glareon1985
      @glareon1985 4 роки тому

      Square root of 8 is 2 squareroot of 2 divided by 4 is 1 square root of 2 divided by 2

  • @sunxmoon9843
    @sunxmoon9843 3 роки тому +2

    When is the time can we really need this kind of math in our daily living??

  • @alifdanial7495
    @alifdanial7495 3 роки тому

    This really help me !! thank you!!

  • @icebear1465
    @icebear1465 4 роки тому

    THANK YOU SO MUCH!!! YOU ARE THE BEST !!!!

  • @mixkalihim909
    @mixkalihim909 6 років тому +1

    Useful video. Thanks!! Upload more!!

  • @rigjuice734
    @rigjuice734 3 роки тому

    your a life saver bro

  • @haileybellafiore6444
    @haileybellafiore6444 6 років тому +2

    You're alot of help though! Thank you.

  • @sanopann1896
    @sanopann1896 2 роки тому +2

    5:33 why didn't you multiply the radical 2 times radical 2

  • @RobSteel117
    @RobSteel117 11 місяців тому

    I wish you had included a solution example with a sum or difference of terms in the numerator that also had radicals in them

  • @Mk-wo7pu
    @Mk-wo7pu 4 роки тому +1

    This was helpful thanks

  • @drawfuless
    @drawfuless 11 місяців тому

    Thank you man

  • @karan_karan_karan
    @karan_karan_karan 3 роки тому

    thank u this helped so much :)!! ILY u aways come in clutch.. if nobody got me,,, The Organic Chemistry Tutor got me! perrr!!!!

  • @mrcheese9541
    @mrcheese9541 4 роки тому +1

    Thanks so much this cleared up a lot

  • @studybooster18
    @studybooster18 10 місяців тому

    Thanks man appreciate u😘❤️

  • @zexus5491
    @zexus5491 5 років тому +1

    8:10 why is it we need to multiply it by "4th root of 3x³" instead of "4th root of 3x"?
    I want to know the answer,thank you.❤

    • @lillykitty6790
      @lillykitty6790 4 роки тому

      It’s because to cancel out the fourth root (the tiny number at the top), you need to have the same number in the square root above the actual number (2 cubed for example: the cubed [3] at top is the number)

    • @lillykitty6790
      @lillykitty6790 4 роки тому

      So to cancel out the fourth root you need to have the 4th power above the number in the square root

  • @ChenSenor
    @ChenSenor 7 місяців тому

    1:54 you can still make square root 8 to 2square root 2 and divide 4

  • @chandrodevi1002
    @chandrodevi1002 2 роки тому

    Good! I really liked it!😀👏🏻

  • @ari_0172
    @ari_0172 6 років тому +6

    I just need to say one thing: ...THANK YOU.... ;----;

  • @roniejabello5800
    @roniejabello5800 4 роки тому +1

    Thank you.

  • @whitetornader
    @whitetornader 7 років тому

    Honestly thank you so much!

  • @obleynix8026
    @obleynix8026 2 роки тому +1

    Thanks! you explained it all very well, it helped me a lot!

  • @josiegarkisch2949
    @josiegarkisch2949 6 років тому

    Thank you this was so helpful

  • @user-yn5ld8ig5u
    @user-yn5ld8ig5u 4 роки тому

    Thank you Sir!

  • @HydroInvalid
    @HydroInvalid 3 роки тому

    THANK YOU SO MUCH SIR

  • @ryleperez7249
    @ryleperez7249 11 місяців тому

    how did you get ³✓2² in the problem at 4:59?

  • @justtekkit
    @justtekkit Рік тому

    8:55 why did U simplify 32x inside 4th root before u rationalized and in 6:32 where did 8 come from?

  • @Thunder-shock912
    @Thunder-shock912 Рік тому +2

    6:32 where does the eight come from?!!!!!!!

  • @zanamweelson9274
    @zanamweelson9274 Рік тому

    Helpful !!!

  • @haileybellafiore6444
    @haileybellafiore6444 6 років тому +19

    "the organic chemistry tutor": teaches math

  • @saidally854
    @saidally854 7 років тому

    Thank you so so much

  • @ivanturan6011
    @ivanturan6011 3 роки тому

    Thanks!

  • @boushrahaider5176
    @boushrahaider5176 4 роки тому

    Keep uploading please

  • @goskater2922
    @goskater2922 7 років тому

    Thank YOU!!!

  • @lalkhan3039
    @lalkhan3039 2 роки тому

    Excellent

  • @steffie642
    @steffie642 5 років тому

    Thank You

  • @popioprzyjaciel9446
    @popioprzyjaciel9446 4 роки тому

    ever just have to revisit this basic algerbra while in calculus

  • @AwesomeAsh99
    @AwesomeAsh99 7 років тому +1

    What do you do if your expression is divided by a constant multiplied by SQRT(x), Like so:
    y/(2sqrt(x))

    • @jesdeletion205
      @jesdeletion205 6 років тому

      Multiply denominator by sqrt of x to rationalize it. Therefore, solution is y*sqrt of x over 2x

  • @arnelb.alferez9389
    @arnelb.alferez9389 3 роки тому

    Kinsa pay naa diri,2021😊

  • @justtekkit
    @justtekkit Рік тому

    5:33 why didnt you multiply the radical 2 times

  • @TuTRAN-fz7pn
    @TuTRAN-fz7pn 6 років тому

    Great tutorial. Thanks!

  • @robinsoncrouse7807
    @robinsoncrouse7807 4 роки тому

    Good jobs

  • @tatianagonzalez9267
    @tatianagonzalez9267 2 роки тому

    love the videos such a great help but one thing to note you tend to rush through the last few problems on some of your videos

  • @saka1029
    @saka1029 6 років тому

    √(x)√(x) = (√(x))², not √(x²) when considering the case where x < 0.

  • @misguidedmiscreants547
    @misguidedmiscreants547 4 роки тому

    You literally answered my question in 42 seconds lmao

  • @belisariustirto
    @belisariustirto 9 місяців тому

    Why does the cube symbol stay after X to the power of 3? (2x^3 -> 8x^3) just curious, thanks. Sorry if it's obvious.

  • @JackLv.0
    @JackLv.0 4 роки тому

    Can you explain what is cube root of unity,plz

  • @killerbeebee4945
    @killerbeebee4945 7 місяців тому +1

    5:08

  • @muhammadshukri6966
    @muhammadshukri6966 5 років тому

    Someone help me. I didn't get what he say on 4:06.. When he change y to the power of 5 become y to the power 2.

    • @rarurorook4872
      @rarurorook4872 5 років тому +2

      Hey maybe you have already figured out , but anyways what he did was that he expanded root y^5 as (y^4 x y) , because when you multiply y^4 x y = y^5 . So then he took the square root of y^4 and kept root y as it is. So which means root(y^5) = Root(y^4 x y) therefore ----> = y^2 root(y) . I hope you understand it .. sorry if u didn't , i wish i could explain it to you more clearly .

  • @brd8764
    @brd8764 2 роки тому

    Just learning.

  • @em3g285
    @em3g285 5 років тому

    Thanks

  • @anacondaadultlearningcente4522

    Example 3, can we not simplify the square root of 8 into 2 x square root 2?

  • @mybiggestdreamsfulfilled1028
    @mybiggestdreamsfulfilled1028 3 роки тому +2

    In one of your examples (2:45), 8 over the square root of 4x,should already be simplified to 8 over 2x,which is 4 over x. There is no need for rationalization. But you still rationalized it
    But in (8:55) you simplified 32x inside the 4th root before you rationalized it
    Which make the example in (2:45) incorrect

  • @precioussacil4500
    @precioussacil4500 Рік тому

    how can i rationalize the denominator of this equation? (1)/(
    oot(5)(5x^(2)))

  • @teferaalemu5492
    @teferaalemu5492 2 роки тому

    We can simplify 2√4x/x as 4√x/x right

  • @horizonbrave1533
    @horizonbrave1533 6 років тому

    why must you simplify the radical in the denomintor first before you multiply it to the numerator?

    • @skrtt3891
      @skrtt3891 5 років тому

      Cause it more easier and your life will be easier

  • @javeline18_hoo
    @javeline18_hoo 2 роки тому

    You sound like a 16 years old math genius

  • @hibaalsiyabi7098
    @hibaalsiyabi7098 4 роки тому +2

    3:28 is not fully simplified

    • @hecbec
      @hecbec 2 місяці тому

      What's the answer?

  • @wavecool12
    @wavecool12 5 років тому +1

    On the third equation you needed to simplify 2 times the square root of eight so you get 4 times square root of 2 so your end answer would be 2 square rooted divided by 2

  • @lexa4076
    @lexa4076 2 роки тому

    I LAAAAV YOUUUUUUUUU 💋

  • @monesavillanueva3105
    @monesavillanueva3105 5 років тому +8

    why do we have to rationalize things? 😔😢

    • @marcpaulglimada3332
      @marcpaulglimada3332 4 роки тому

      To express its lowest value and to not confuse and be afraid to large numbers

    • @marcpaulglimada3332
      @marcpaulglimada3332 4 роки тому

      @CJ Dy cause that's math. You should always remember that in math rationalizing and simplifying numbers are very important .

    • @vijayalakshmiramkumar2161
      @vijayalakshmiramkumar2161 4 роки тому

      That's because it wouldn't be easy to use a fraction with a radical denominator

    • @luckedout2131
      @luckedout2131 4 роки тому

      Maybe to make it much more simpler form. I haven't dig to much to it

    • @plsframey2513
      @plsframey2513 4 роки тому

      @@marcpaulglimada3332 for scientist and other jobs that need super hard math