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

This Algebra 2 video tutorial explains how to rationalize the denominator and simplify radical expressions containing variables such as square roots and cube roots. This video contains plenty of examples and practice problems.
Square Roots and Cube Roots:
• Square Roots and Cube ...
Simplifying Radical Expressions:
• Simplifying Radicals
Multiplying Radical Expressions:
• Multiplying Radical Ex...
Adding & Subtracting Radicals:
• Adding and Subtracting...
Simplifying Cube Root Expressions:
• How To Simplify Cube R...
__________________________________
Rationalizing The Denominator:
• Rationalize The Denomi...
Multiplying Radicals With Different Indices:
• Multiplying Radical Ex...
How To Solve Radical Equations:
• Solving Radical Equations
Solving Equations With Cube Roots:
• Solving Equations With...
Solving Complex Radical Equations:
• How To Solve Complex R...
____________________________________
How To Graph Radical Functions:
• How To Graph Radical F...
Domain of Radical Functions:
• How To Find The Domain...
How To Graph Cube Root Functions:
• Graphing Cube Root Fun...
Radical Expressions - Test Review:
• Simplifying Radical Ex...
____________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 214

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor6 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/

  • @nancyssonni8365

    @nancyssonni8365

    6 ай бұрын

    Thanks Soo Much, this is so helpful

  • @samridhsharma5028

    @samridhsharma5028

    2 ай бұрын

    So sigma video

  • @rosalindmarfo8750
    @rosalindmarfo87506 жыл бұрын

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

  • @whimsicalpolaris5751

    @whimsicalpolaris5751

    4 жыл бұрын

    Lol ikr

  • @meleseadugnaye8168

    @meleseadugnaye8168

    3 жыл бұрын

    because you didn't like maths.

  • @lemon-vy3mj

    @lemon-vy3mj

    2 жыл бұрын

    FR

  • @Singapore-Aviation72

    @Singapore-Aviation72

    2 жыл бұрын

    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 жыл бұрын

    F

  • @emmanuelmorales1347
    @emmanuelmorales13475 жыл бұрын

    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!

  • @rosem3646
    @rosem3646 Жыл бұрын

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

  • @user-me1zd6vv2o
    @user-me1zd6vv2o Жыл бұрын

    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)

  • @michaelbanks1000
    @michaelbanks10004 жыл бұрын

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

  • @VDGOAT3
    @VDGOAT3 Жыл бұрын

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

  • @dannnnydannnn5201
    @dannnnydannnn52012 жыл бұрын

    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.

  • @kenzaelaissi65
    @kenzaelaissi655 жыл бұрын

    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

  • @bupe.m.2215
    @bupe.m.22153 жыл бұрын

    I'm jxt here to save my grades😁

  • @namarascurt2956

    @namarascurt2956

    2 жыл бұрын

    (2)

  • @tutorials_with_mateyo
    @tutorials_with_mateyo2 жыл бұрын

    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🙏🏽

  • @jln_ily
    @jln_ily3 жыл бұрын

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

  • @fazejimsmith

    @fazejimsmith

    Жыл бұрын

    EXACTLY

  • @williamrawa7952
    @williamrawa79523 жыл бұрын

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

  • @kishok2180

    @kishok2180

    Жыл бұрын

    😅😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊

  • @jesdeletion205
    @jesdeletion2055 жыл бұрын

    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

  • @user-ov9wf2tj4q

    @user-ov9wf2tj4q

    5 жыл бұрын

    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

    5 жыл бұрын

    @@user-ov9wf2tj4q What? I said some of his examples, not all of them. I'm not sure what you are trying to explain.

  • @keathlyeguia9572

    @keathlyeguia9572

    5 жыл бұрын

    I agree with you sir. Thanks for clearing it up

  • @jinnip

    @jinnip

    4 жыл бұрын

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

  • @iggygizmo5889

    @iggygizmo5889

    4 жыл бұрын

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

  • @chilimilky1162
    @chilimilky11625 жыл бұрын

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

  • @vibewithkaey4269
    @vibewithkaey42693 жыл бұрын

    u literally solved so many of my problems god bless u

  • @lovecatpiecares6518
    @lovecatpiecares65185 жыл бұрын

    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!!!!!!!!!

  • @tangerine_9627

    @tangerine_9627

    7 ай бұрын

    How did it go?

  • @neptune6619

    @neptune6619

    6 ай бұрын

    @@tangerine_9627that was 5 years ago

  • @bobprottas3568
    @bobprottas35687 жыл бұрын

    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

    Жыл бұрын

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

  • @believerslifexpress9019
    @believerslifexpress90192 жыл бұрын

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

  • @rojjeen4493
    @rojjeen44933 жыл бұрын

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

  • @kerrysong6538
    @kerrysong65383 жыл бұрын

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

  • @fazejimsmith
    @fazejimsmith Жыл бұрын

    YOU LITERALLY SAVE ME EVERYDAY I LOVE YOU SO MUCH

  • @butterflytobe1013
    @butterflytobe10133 жыл бұрын

    You've solution to my every problem 👁️♥️

  • @mixkalihim909
    @mixkalihim9096 жыл бұрын

    Useful video. Thanks!! Upload more!!

  • @luisrafaelgabriel9290
    @luisrafaelgabriel92902 жыл бұрын

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

  • @abidahussain4688
    @abidahussain46886 жыл бұрын

    This is so helpful thank you 😊

  • @hanisyahira9091
    @hanisyahira90912 жыл бұрын

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

  • @haileybellafiore6444
    @haileybellafiore64446 жыл бұрын

    You're alot of help though! Thank you.

  • @ariezm6433
    @ariezm64334 жыл бұрын

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

  • @jeiogogolin5796
    @jeiogogolin57965 жыл бұрын

    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

    5 жыл бұрын

    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 Жыл бұрын

    Thank you so much you literally saved my life

  • @obleynix8026
    @obleynix8026 Жыл бұрын

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

  • @whitetornader
    @whitetornader6 жыл бұрын

    Honestly thank you so much!

  • @mrcheese9541
    @mrcheese95413 жыл бұрын

    Thanks so much this cleared up a lot

  • @alifdanial7495
    @alifdanial74953 жыл бұрын

    This really help me !! thank you!!

  • @icebear1465
    @icebear14653 жыл бұрын

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

  • @biancamontalbo6378
    @biancamontalbo63784 жыл бұрын

    √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

  • @abulkhayrabdulbasit569
    @abulkhayrabdulbasit5694 жыл бұрын

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

  • @driftinglads5763

    @driftinglads5763

    2 жыл бұрын

    How did you do in your exam

  • @bleacherreportfootball2355

    @bleacherreportfootball2355

    Жыл бұрын

    @@driftinglads5763 hi

  • @ambition150
    @ambition150 Жыл бұрын

    Your videos are the best you make it easy😇

  • @nadeemkhalil327
    @nadeemkhalil3274 жыл бұрын

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

  • @josiegarkisch2949
    @josiegarkisch29496 жыл бұрын

    Thank you this was so helpful

  • @chandrodevi1002
    @chandrodevi10022 жыл бұрын

    Good! I really liked it!😀👏🏻

  • @HarryInShape
    @HarryInShape10 ай бұрын

    Grace a toi, je comprends tout maintenant

  • @RobSteel117
    @RobSteel1175 ай бұрын

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

  • @user-sf1sv5dp1u
    @user-sf1sv5dp1u5 ай бұрын

    Great video!

  • @SSashesofthewake
    @SSashesofthewake2 жыл бұрын

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

  • @rigjuice734
    @rigjuice7342 жыл бұрын

    your a life saver bro

  • @AwesomeAsh99
    @AwesomeAsh997 жыл бұрын

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

  • @jesdeletion205

    @jesdeletion205

    5 жыл бұрын

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

  • @andrewmartsch
    @andrewmartsch2 жыл бұрын

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

  • @karan_karan_karan
    @karan_karan_karan3 жыл бұрын

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

  • @Mk-wo7pu
    @Mk-wo7pu3 жыл бұрын

    This was helpful thanks

  • @Crashoutgavin
    @Crashoutgavin Жыл бұрын

    Better teacher than my teacher fr

  • @sunxmoon9843
    @sunxmoon98432 жыл бұрын

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

  • @goskater2922
    @goskater29226 жыл бұрын

    Thank YOU!!!

  • @squishy1523
    @squishy15233 жыл бұрын

    take subscibe you have been helping me since 6th grade

  • @saidally854
    @saidally8546 жыл бұрын

    Thank you so so much

  • @saka1029
    @saka10295 жыл бұрын

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

  • @user-yn5ld8ig5u
    @user-yn5ld8ig5u3 жыл бұрын

    Thank you Sir!

  • @ChenSenor
    @ChenSenorАй бұрын

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

  • @roniejabello5800
    @roniejabello58003 жыл бұрын

    Thank you.

  • @misguidedmiscreants547
    @misguidedmiscreants5474 жыл бұрын

    You literally answered my question in 42 seconds lmao

  • @j_l_s2243
    @j_l_s22433 жыл бұрын

    Can you explain what is cube root of unity,plz

  • @drawfuless
    @drawfuless5 ай бұрын

    Thank you man

  • @shafeemahmood3734
    @shafeemahmood37344 жыл бұрын

    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

  • @JustMyWords1

    @JustMyWords1

    4 жыл бұрын

    Big Apple United really when?

  • @AbdHKFx

    @AbdHKFx

    3 жыл бұрын

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

  • @glareon1985

    @glareon1985

    3 жыл бұрын

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

  • @kamilaa1
    @kamilaa110 ай бұрын

    THIS HELPED SO MUCH! THANK YOU

  • @ryleperez7249
    @ryleperez72495 ай бұрын

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

  • @TuTRAN-fz7pn
    @TuTRAN-fz7pn5 жыл бұрын

    Great tutorial. Thanks!

  • @HydroInvalid
    @HydroInvalid2 жыл бұрын

    THANK YOU SO MUCH SIR

  • @sanopann1896
    @sanopann1896 Жыл бұрын

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

  • @studybooster18
    @studybooster184 ай бұрын

    Thanks man appreciate u😘❤️

  • @precioussacil4500
    @precioussacil4500 Жыл бұрын

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

  • @zexus5491
    @zexus54914 жыл бұрын

    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 жыл бұрын

    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 жыл бұрын

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

  • @alanng1986
    @alanng1986 Жыл бұрын

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

  • @teferaalemu5492
    @teferaalemu54922 жыл бұрын

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

  • @anacondaadultlearningcente4522
    @anacondaadultlearningcente45228 ай бұрын

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

  • @steffie642
    @steffie6424 жыл бұрын

    Thank You

  • @sarius2388
    @sarius23883 ай бұрын

    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.

  • @boushrahaider5176
    @boushrahaider51763 жыл бұрын

    Keep uploading please

  • @codex4264
    @codex42643 жыл бұрын

    why am i learning this im in algebra 1 and im trying to figure out this homework my teacher assigned me lol. great video though, thank you!

  • @every500
    @every5003 жыл бұрын

    Thanks

  • @popioprzyjaciel9446
    @popioprzyjaciel94463 жыл бұрын

    ever just have to revisit this basic algerbra while in calculus

  • @jc.9778
    @jc.9778 Жыл бұрын

    Thank you

  • @carltorres1553
    @carltorres15532 жыл бұрын

    what if there are negatives in there?

  • @alanng1986
    @alanng1986 Жыл бұрын

    5:33 why didnt you multiply the radical 2 times

  • @lalkhan3039
    @lalkhan30392 жыл бұрын

    Excellent

  • @ari_0172
    @ari_01725 жыл бұрын

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

  • @ivanturan6011
    @ivanturan60112 жыл бұрын

    Thanks!

  • @haileybellafiore6444
    @haileybellafiore64446 жыл бұрын

    "the organic chemistry tutor": teaches math

  • @starwarfan8342

    @starwarfan8342

    6 жыл бұрын

    I don't think you understand just how much math is in chemistry.

  • @ewanfowler-purdy1170

    @ewanfowler-purdy1170

    4 жыл бұрын

    I think he also does some chemistry lessons

  • @vibewithkaey4269

    @vibewithkaey4269

    3 жыл бұрын

    @@ewanfowler-purdy1170 hahaha

  • @vibewithkaey4269

    @vibewithkaey4269

    3 жыл бұрын

    physics too

  • @horizonbrave1533
    @horizonbrave15336 жыл бұрын

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

  • @skrtt3891

    @skrtt3891

    4 жыл бұрын

    Cause it more easier and your life will be easier

  • @robinsoncrouse7807
    @robinsoncrouse78074 жыл бұрын

    Good jobs

  • @zanamweelson9274
    @zanamweelson9274 Жыл бұрын

    Helpful !!!

  • @abimbolaakinyemi4811
    @abimbolaakinyemi48114 жыл бұрын

    Were did he get two square from

  • @tatianagonzalez9267
    @tatianagonzalez92672 жыл бұрын

    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

  • @pearl1028
    @pearl102810 ай бұрын

    how can i rationalize 1 / √2 + √2? Please someone help 🙏

  • @arnelb.alferez9389
    @arnelb.alferez93892 жыл бұрын

    Kinsa pay naa diri,2021😊

  • @muhammadshukri6966
    @muhammadshukri69665 жыл бұрын

    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 жыл бұрын

    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 .

  • @killerbeebee4945
    @killerbeebee4945Ай бұрын

    5:08

  • @Thunder-shock912
    @Thunder-shock912 Жыл бұрын

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

  • @krisha9413
    @krisha94134 жыл бұрын

    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

  • @brd8764
    @brd87642 жыл бұрын

    Just learning.

  • @meleechicken

    @meleechicken

    2 жыл бұрын

    E