Multiplying Radical Expressions With Variables and Exponents

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  • Опубликовано: 5 сен 2024
  • This algebra video tutorial explains how to multiply radical expressions with variables and exponents. It contains plenty of examples and practice problems of multiplying radical expressions with square roots and cube roots.
    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-tuto...
    Full-Length Videos and Worksheets:
    / collections

Комментарии • 166

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  7 месяцев назад +5

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

  • @lindsaygarden3802
    @lindsaygarden3802 2 года назад +167

    I go to Purdue University and am taking a math course online. Every week, my professor puts your videos as required media for us to use along with our textbook. There are no lectures provided by the university or professor. I wish I could have given YOU the thousands of dollars I'm paying for my course instead.

    • @eyeoferin
      @eyeoferin 9 месяцев назад +20

      Same here. I hate online math courses cause the teachers don’t do their jobs and leave it to the books, YT videos, and online learning. I feel like I’m not learning anything, it’s so frustrating! It’s such a rip off!

    • @Kashmerega-fs1vg
      @Kashmerega-fs1vg 5 месяцев назад +5

      This RUclipsr is a legend ✊

    • @Yourmom-gn3jv
      @Yourmom-gn3jv 4 месяца назад

      What kind school is that…

  • @gylfie1099
    @gylfie1099 5 лет назад +274

    Thank you soo much, I was struggling and my teacher isn't very good at explaining this

    • @wolfstormwizard424
      @wolfstormwizard424 4 года назад +6

      Or you weren’t listening 😝

    • @gylfie1099
      @gylfie1099 4 года назад +40

      Wolf Storm Wizard no, my teacher really just couldn’t explain it in a way I could understand.

    • @khatunamezvrishvili6211
      @khatunamezvrishvili6211 3 года назад +1

      I wasnt listening plus I couldnt be there for some of the lessons

    • @NayNay-dg6fi
      @NayNay-dg6fi 3 года назад +1

      Same

    • @amari1368
      @amari1368 3 года назад +8

      Dead ass it’s like teachers became teachers just to make kids life’s worst

  • @stickshiftstarship
    @stickshiftstarship 3 года назад +61

    WHY can this wonderful man make it so clear? My textbook has the coherency of sawdust.

    • @sonder2823
      @sonder2823 3 года назад +9

      They tend to skip a bunch of stuff and not explain how they got the answer. Math textbooks aren't the best =_=

    • @sjisjsissk
      @sjisjsissk Год назад +1

      Pretty rare a professor of mathematics can explain or write coherently

    • @FikiriMloka-ft3yf
      @FikiriMloka-ft3yf 6 месяцев назад +1

      ​@sjisjsissk But people do pay a lot of money to get knowledge,why don't they explain it clearly for the learners to understand?so sad.

    • @DiscernmentBlack
      @DiscernmentBlack 4 месяца назад

      LMAOO😂😂

  • @boycic1479
    @boycic1479 5 месяцев назад +5

    I'm homeschooling and your videos have made learning Algebra fun!

  • @alyssa8658
    @alyssa8658 5 лет назад +159

    You explain better than my teacher, without you, I might've failed my first math quiz tomorrow for the new semester

  • @chickennugget7654
    @chickennugget7654 3 года назад +33

    i may or may not be watching this during the test

    • @Shiyu-bg5vo
      @Shiyu-bg5vo 2 месяца назад

      Hmmmmmm. Well at least you’re learning it instead of straight up searching it up like me. 😅😅

  • @jasonc496
    @jasonc496 Год назад +5

    OMGGG TYSM SIR my teacher didn't even teach us this method! I am now feeling very confident on my exam tomorrow you had just wiped my tears of frustration out of my face. Bless you💚

  • @abdullahhassan743990
    @abdullahhassan743990 6 лет назад +17

    Bruh u are a genius and a life saver you explain better then my teacher! God bless you!

  • @kimberlypalma324
    @kimberlypalma324 5 лет назад +24

    I didn’t get the last one but other ones help a lot thank you very much👌👌💕

    • @collinkattengell9377
      @collinkattengell9377 5 лет назад +6

      what dont you get? its just factoring out x^2+6x+9. you need 2 of something to take it out of the radical right? just like if 9 was in a radical or (3)(3) it would be 3. you have the same expression twice- (x+3)(x+3) in a radical = x+3

  • @treshurwilliams-carter4006
    @treshurwilliams-carter4006 5 лет назад +17

    I've been struggling for the longest on the part with variables, but this explanation was so easy to follow and added so much clarity for me. Thanks!

  • @Chillwave.o
    @Chillwave.o 5 месяцев назад +1

    Best guy on math subject

  • @61subsandnovideos
    @61subsandnovideos 3 года назад +5

    My head is literally exploding. You are so talented at math oh my gosh and the way you described it all? EN POINTE. Jesus bless you. You are literally a light worker on earth for all of us.

  • @georgesadler7830
    @georgesadler7830 2 года назад +2

    MR. Organic Chemistry Tutor ,thank you for another excellent video/lecture on Multiplying Radical Expressions With Variables and Exponents in Classical Algebra. These are powerful tools in Mathematics, Physics, and Engineering.

  • @Booga04Minecraft
    @Booga04Minecraft 6 лет назад +131

    I'm dying inside I still don't understand it
    * shocking *
    I never understand anything in math

    • @hammadkhan5610
      @hammadkhan5610 6 лет назад

      Booga04 Minecraft lollll sams

    • @hammadkhan5610
      @hammadkhan5610 6 лет назад

      same

    • @sachinraghavan4556
      @sachinraghavan4556 5 лет назад +10

      He's multiplying the radical values with each other, and simplifying them. When working with radicals, you have to break down the value in the radical and see if you can find the square root of one of those values. That root can be placed outside of the radical sign and multiplied with it. Similarly, to put a multiplied number into a square root radical, you have to square it and multiply it with the existing number inside the radical.

    • @finnryder8143
      @finnryder8143 3 года назад +1

      @@sachinraghavan4556 It still doesn't make sense.

    • @undeadtengu8070
      @undeadtengu8070 3 года назад +1

      I'm really thinking of suicide I really don't have time for this shit even I'm smart never understands math 😐

  • @jeremyncrm2012
    @jeremyncrm2012 11 дней назад

    So helpful, when it all clicks it feel amazing

  • @kiasupreme3391
    @kiasupreme3391 2 года назад +2

    You helped me get a B on my midterm in college, thank you ! 😊

  • @philipdong72
    @philipdong72 Год назад +1

    Your videos are just amazing. At home, I've been watching your channe; since, and you've helped me reach another level in math. Thank You SO much

  • @biohazard016
    @biohazard016 Год назад +3

    Bro stop looking at the comments and listen

  • @RyuuA3
    @RyuuA3 Год назад +1

    This helped a lot Tysm I have my math final exam in 3 days

  • @charleshalifax9106
    @charleshalifax9106 4 года назад +3

    If only I could like your videos more than once I would

  • @BlackStormAlt
    @BlackStormAlt 8 месяцев назад

    This is gonna be my new lesson on my Math and I really thank you about it🙏😁

  • @user-vz2yy1kn7x
    @user-vz2yy1kn7x 7 месяцев назад

    you are such a good teacher...........we thank you🥰🥰🥰🥰

  • @error-qb2ld
    @error-qb2ld 3 года назад +1

    you are so much better at this than my teacher

  • @adammcginnis5390
    @adammcginnis5390 Месяц назад

    These videos are amazing thank you so much

  • @caragreene6029
    @caragreene6029 Год назад

    Thank you so much for making this video, I was literally stuck on a problem for days and could not understand but now I do! You rock thank you!

  • @nxtes8299
    @nxtes8299 Год назад

    Needed a brush up bc its the Night before milestones thx bro

  • @awayforthewin1325
    @awayforthewin1325 4 года назад +2

    Best math teacher I've ever had

  • @xog-hel
    @xog-hel Год назад

    bro thank you so much you really helped me I wish you success

  • @wilson7594
    @wilson7594 2 года назад

    Thank god that youre vid is free to dl

  • @ProffesionaIHater
    @ProffesionaIHater Год назад

    bro youre so wild for this i love you

  • @stevenl3157
    @stevenl3157 Год назад

    Thank you so much. God bless you

  • @eedle6428
    @eedle6428 5 лет назад +6

    Please answer this. Im so confuse. The questions on my assignments seems to be different. Our topic is multipliying radicals but what our teacher taught is really different. When i try to do your method, the answer given by our teacher from his example is wrong. ^3√54x^5 multiply by ^3√48x^4.. I keep on trying to answer this on my own from the way you teach. But the answer was still not the same from our teacher. I dont get it. Please help me.

    • @oskarmarkin5674
      @oskarmarkin5674 3 года назад

      That’s just sad, no one has replied helping you in 2 years

    • @bly5216
      @bly5216 2 года назад

      Did you figure it out?

    • @77lowend
      @77lowend 2 года назад

      its been three years and they still didnt figure it out.... im so sorry...

    • @77lowend
      @77lowend 2 года назад

      its been three years and they still didnt figure it out.... im so sorry...

    • @samonnathan2652
      @samonnathan2652 Год назад

      @@77lowend 4 years still no helped him. prolly graduated by now

  • @EliStettner
    @EliStettner 3 года назад +1

    THIS MAN IS A GODDAMN SAINT! SAINT!!!!!

    • @DMAcademy23
      @DMAcademy23 3 года назад

      ruclips.net/video/8TmUUUql1SY/видео.html
      This might help you.

  • @wilson7594
    @wilson7594 2 года назад

    Youre my teacher now

  • @nandwavictor69
    @nandwavictor69 Год назад

    Thanks you are so eloquent

  • @Victory_Accomplished
    @Victory_Accomplished 3 года назад +1

    Thank you I understand it now am in 7grade but learning 8grade math because I am good at it

  • @pexis_7027
    @pexis_7027 2 года назад

    thank you this made it so easy to make

  • @Zrqkkk
    @Zrqkkk 6 месяцев назад

    This guys teaches better than my Math teacher.

  • @MYfriendsknow
    @MYfriendsknow 2 года назад

    Fantastic !! Thank you for all you do.

  • @jjajangmyeona
    @jjajangmyeona 3 года назад +7

    bruh we literally have a test abt this in like 20 mins

  • @user-wk2fk8qn1y
    @user-wk2fk8qn1y 7 месяцев назад

    Thanks!

  • @regorberinguela8294
    @regorberinguela8294 5 лет назад +20

    Math is so hard ༼;´༎ຶ ۝ ༎ຶ༽

  • @axelJeans27
    @axelJeans27 3 года назад

    Genious in math..how to be you?

  • @moneysoles5185
    @moneysoles5185 4 года назад +1

    I but if it is x to the power of 3 squared what is the square root of that?

  • @deltafoxtrotdx
    @deltafoxtrotdx Год назад

    What if the index is different

  • @sjisjsissk
    @sjisjsissk Год назад

    This method for breaking up radicals is meta as hell

  • @yusra0308
    @yusra0308 9 месяцев назад

    THANKYOU SO MUCH I GET IT

  • @bluebubbles2735
    @bluebubbles2735 4 года назад +1

    Thank you ❤️🤗🇵🇭

  • @jess7cha
    @jess7cha 3 года назад

    Your voice is great

  • @msimon1984
    @msimon1984 13 дней назад

    Why did you cube 12 but only square 6 esp when you could have cubed the six?

  • @ameliaestrada4712
    @ameliaestrada4712 2 года назад +1

    This is really HARD I CAN'T 😌😌😌

  • @steel0102
    @steel0102 Год назад +1

    Bro is the reason I'm not failing math💀😂😭

  • @beggarr8423
    @beggarr8423 6 лет назад +1

    ty

  • @SneakyThew
    @SneakyThew Год назад +1

    why is the square root of 6 times the square root of 15 = 90 but the square root of 3 times the square root of 3 = 3? 1:08

    • @tacocat_sam
      @tacocat_sam 10 месяцев назад

      hi! this is because √3 x √3 = √9 and finding the square root of 9 equals 3. he simplified it.

  • @pietrorossi9165
    @pietrorossi9165 2 года назад

    Awesome video!

  • @tti4919
    @tti4919 5 лет назад +1

    Much love

  • @imnothappyimgay4115
    @imnothappyimgay4115 3 года назад

    On 8:07 why can’t u just multiply 6x3? I’m really confused on this topic..

  • @JRenaeK
    @JRenaeK 4 года назад +3

    how come in the beginning you said 3•3 stayed as a 3( 1:04) , but then in the next example you said that the 5•5 would be 25 ( 2:12 ) i'm SO confused

    • @willc.1636
      @willc.1636 4 года назад +1

      You could do either way for either of them, they get the same answer multiplying the same two sqaure roots will be the same as when you square root them after multiplying them.

  • @lorddoome7001
    @lorddoome7001 3 года назад

    So if you combine two like radicals it will be the same number now I get it.

  • @cachalittlevideos7530
    @cachalittlevideos7530 5 лет назад +1

    3:55 why it wasnt 3 cube root 2? Anyone??

    • @pyro7435
      @pyro7435 5 лет назад

      Its cube root not square root

  • @zenoxoxo
    @zenoxoxo 2 года назад

    i have a question in 7:37 when factor 12 using 6*2 would still get me the right answer?

    • @hanahikaru7069
      @hanahikaru7069 2 года назад

      no, u will have to get the cube root of 12. cube root is multiplying the same number three times, in number 12 cube root is 4 (4×3) and then simplify 4 so it becomes √2 and √2 and then √3

  • @lalasisters1473
    @lalasisters1473 5 лет назад +2

    Your the reason I’m passing

  • @felixanderdoloso8722
    @felixanderdoloso8722 3 года назад

    5:11 what if it could be 9 and 8?

  • @maddengodz7759
    @maddengodz7759 5 лет назад +4

    you going to fasssst

  • @jessicafowler6511
    @jessicafowler6511 4 года назад +1

    I think what he's trying to say is that when multiplying roots that you multiply the coefficients.

  • @silents9084
    @silents9084 2 года назад +1

    Dude, I love how you show two ways of doing this but for some reason, u choose to multiple the S.Q of 8 with the S.Q of 6 without showing us how to simplify before multiplying. 1:40 so annoying. My answer was 2 root 12 not 4 root 3.

  • @cloakfps4888
    @cloakfps4888 3 года назад

    thank you i love you

  • @sardajar41
    @sardajar41 2 года назад

    wouldnt when u multiply, lets say root 5 times root 5 = plus or minus 5? why does it equal 5??

    • @Deadshotsabot
      @Deadshotsabot 2 года назад

      Most times teachers only want the positive answer, yes sqrt of 25 is technically-5&5 but most teachers say to only put the positive unless it is asking for both. If the question is Xsquared = 25, what is X? Then you want to put both -5 & 5. That’s what I’m assuming and it works better here to put positive

  • @chii6050
    @chii6050 11 месяцев назад

    Ayeee galing mo tlaga mam

  • @shainebautista8986
    @shainebautista8986 4 года назад +1

    still i dont understand :((

  • @sonofjesus1464
    @sonofjesus1464 5 лет назад +2

    I am looking for a problem that deals with absolute value expression

  • @adolfmasayon4047
    @adolfmasayon4047 5 лет назад +1

    so basically you are breaking whole numbers into their prime factors?

    • @livmashupmansen191
      @livmashupmansen191 3 года назад

      Basically. You’re just factoring and breaking into primes.

  • @hammadkhan5610
    @hammadkhan5610 6 лет назад +5

    i still don’t get it

  • @haachama-chama4071
    @haachama-chama4071 4 года назад +6

    Im dead tmrw

  • @dereksundberg781
    @dereksundberg781 9 месяцев назад

    Me watching this an hour before my test 😢

  • @Shiyu-bg5vo
    @Shiyu-bg5vo 2 месяца назад +1

    ❤❤❤

  • @valerdenn
    @valerdenn 2 года назад +1

    i love you

  • @justinesadian1394
    @justinesadian1394 8 месяцев назад +1

    hoe about square root • cube root?

  • @bluebubbles2735
    @bluebubbles2735 4 года назад

    5:38 , 8 doesnt have square root but cube root so why √x^8 turns to x^4👍😢😩

    • @thaqibali547
      @thaqibali547 4 года назад

      Think of its like this sqrt(x^4)^2, since you're taking the square root, the two cancels out. You're just breaking down the exponent to a point where it can be rooted.

  • @itriied5027
    @itriied5027 6 лет назад +3

    two times tree :)

  • @bodysync0070
    @bodysync0070 3 года назад +1

    fvck yea man im pro mathematician now thanks to you brother ffrom another mother

  • @ufo_militia4341
    @ufo_militia4341 5 лет назад

    Can anyone explain how he got x4 and y3 on 7:18

    • @DavielCruzPersonal
      @DavielCruzPersonal 5 лет назад +2

      It's a cubed root, so he is looking for groups of 3. x^13 can have 4 groups of 3 taken out of it with 1 x remaining. y^10 can have 3 groups of it taken out of it with q remaining. A good tactic to use would be to just subtract. For example: you want to get how many groups of 3 in x^13 (like in the video above) so you subtract 3, you get 10, subtract 3 again, you get 7, subtract again, you get 4, subtract again, you get 1. You can't get 3 from 1, so the amount of times you subtracted is the exponent you put on the variable once you take it out of the radical (square root)

    • @laylasartorius218
      @laylasartorius218 5 лет назад

      Daviel Cruz thankyouuuu😭

  • @pw9404
    @pw9404 3 года назад

    I can’t even understand my teacher lmao

  • @theamazingbros7956
    @theamazingbros7956 5 лет назад

    Isn't 18 already a perfect 4th root?

  • @rafiqulhassan9975
    @rafiqulhassan9975 4 года назад +2

    I just hate maths......😤😤😤

  • @phyllislay4258
    @phyllislay4258 4 года назад

    can you help me

  • @sharmeennoman9239
    @sharmeennoman9239 3 года назад

    Lisp

  • @eduardogaldino5785
    @eduardogaldino5785 2 года назад

    It had to be you...

  • @zuin5983
    @zuin5983 Год назад

    ITS STILL HARDDD

  • @_sxnnymya157
    @_sxnnymya157 10 месяцев назад

    I still have no clue

  • @angellagman9115
    @angellagman9115 3 года назад

    ANO BA YAN, ANG SAKET SA UTAK
    GR 9 STUDENT HERE

  • @WillBurns89
    @WillBurns89 2 года назад

    Why is every math video involve whispering as quietly as possible

  • @usapangdiskarte7986
    @usapangdiskarte7986 11 месяцев назад

    3xcelent 😘😘

  • @bravikumar8950
    @bravikumar8950 28 дней назад

    👍👍👍😊

  • @amari1368
    @amari1368 3 года назад

    This still didn’t help I’m complete lost

    • @61subsandnovideos
      @61subsandnovideos 3 года назад

      just analyze it my dude and you'll get there. take notes too and follow whatever the hell he's saying.

  • @panchodote863
    @panchodote863 4 года назад

    Good vid I understood most of it, I do have one complaint though, WHY ARE YOU SO QUIET! At first I thought my laptop had a problem but then I realized it was YOU! Sry but because of that I could NOT and I mean could NOT have a harder time to learn then this! Stop whispering and start talking properly

    • @LoveLee111
      @LoveLee111 3 года назад

      he talks fine, maybe its your laptop

  • @jordanm06111
    @jordanm06111 5 лет назад +2

    Jesus, math is so stupid its actually insane. Just seems so impractical and useless. Otherwise, great vid

    • @vlitragaia5969
      @vlitragaia5969 4 года назад +1

      I mean it's actually used in everything from counting money to building structures so I get your frustration but it's actually more useful then you may think

  • @yuiwee1793
    @yuiwee1793 7 месяцев назад

    😢√2 • ³√2 • 6√2

  • @daphoenix9330
    @daphoenix9330 4 года назад

    Why am I in the smart kid's section of RUclips?

    • @JRenaeK
      @JRenaeK 4 года назад +4

      Mr. UnKnOwN youre not. we're all here cause we the dumb kids lmao