Multiplying Radical Expressions With Variables and Exponents

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  • เผยแพร่เมื่อ 25 ส.ค. 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

ความคิดเห็น • 166

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  7 หลายเดือนก่อน +5

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

  • @lindsaygarden3802
    @lindsaygarden3802 2 ปีที่แล้ว +164

    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 หลายเดือนก่อน +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 หลายเดือนก่อน +5

      This TH-camr is a legend ✊

    • @Yourmom-gn3jv
      @Yourmom-gn3jv 4 หลายเดือนก่อน

      What kind school is that…

  • @gylfie1099
    @gylfie1099 5 ปีที่แล้ว +275

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

    • @wolfstormwizard424
      @wolfstormwizard424 4 ปีที่แล้ว +6

      Or you weren’t listening 😝

    • @gylfie1099
      @gylfie1099 4 ปีที่แล้ว +40

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

    • @khatunamezvrishvili6211
      @khatunamezvrishvili6211 3 ปีที่แล้ว +1

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

    • @NayNay-dg6fi
      @NayNay-dg6fi 3 ปีที่แล้ว +1

      Same

    • @amari1368
      @amari1368 3 ปีที่แล้ว +8

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

  • @stickshiftstarship
    @stickshiftstarship 3 ปีที่แล้ว +61

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

    • @sonder2823
      @sonder2823 3 ปีที่แล้ว +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 ปีที่แล้ว +1

      Pretty rare a professor of mathematics can explain or write coherently

    • @FikiriMloka-ft3yf
      @FikiriMloka-ft3yf 5 หลายเดือนก่อน +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 หลายเดือนก่อน

      LMAOO😂😂

  • @chickennugget7654
    @chickennugget7654 3 ปีที่แล้ว +33

    i may or may not be watching this during the test

    • @Shiyu-bg5vo
      @Shiyu-bg5vo 2 หลายเดือนก่อน

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

  • @boycic1479
    @boycic1479 4 หลายเดือนก่อน +5

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

  • @alyssa8658
    @alyssa8658 5 ปีที่แล้ว +159

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

    • @alwaysanswer878
      @alwaysanswer878 5 ปีที่แล้ว

      hi yeah this is a great resource

    • @critical2984
      @critical2984 9 หลายเดือนก่อน +1

      so hows life dawg

  • @jasonc496
    @jasonc496 ปีที่แล้ว +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 5 ปีที่แล้ว +17

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

  • @kimberlypalma324
    @kimberlypalma324 5 ปีที่แล้ว +24

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

    • @collinkattengell9377
      @collinkattengell9377 5 ปีที่แล้ว +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 ปีที่แล้ว +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!

  • @Booga04Minecraft
    @Booga04Minecraft 6 ปีที่แล้ว +131

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

    • @hammadkhan5610
      @hammadkhan5610 6 ปีที่แล้ว

      Booga04 Minecraft lollll sams

    • @hammadkhan5610
      @hammadkhan5610 6 ปีที่แล้ว

      same

    • @sachinraghavan4556
      @sachinraghavan4556 5 ปีที่แล้ว +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 ปีที่แล้ว +1

      @@sachinraghavan4556 It still doesn't make sense.

    • @undeadtengu8070
      @undeadtengu8070 3 ปีที่แล้ว +1

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

  • @Chillwave.o
    @Chillwave.o 5 หลายเดือนก่อน +1

    Best guy on math subject

  • @jeremyncrm2012
    @jeremyncrm2012 2 ชั่วโมงที่ผ่านมา

    So helpful, when it all clicks it feel amazing

  • @61subsandnovideos
    @61subsandnovideos 3 ปีที่แล้ว +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 ปีที่แล้ว +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.

  • @kiasupreme3391
    @kiasupreme3391 2 ปีที่แล้ว +2

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

  • @charleshalifax9106
    @charleshalifax9106 3 ปีที่แล้ว +3

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

  • @philipdong72
    @philipdong72 ปีที่แล้ว +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

  • @RyuuA3
    @RyuuA3 ปีที่แล้ว +1

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

  • @error-qb2ld
    @error-qb2ld 3 ปีที่แล้ว +1

    you are so much better at this than my teacher

  • @BlackStormAlt
    @BlackStormAlt 7 หลายเดือนก่อน

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

  • @adammcginnis5390
    @adammcginnis5390 หลายเดือนก่อน

    These videos are amazing thank you so much

  • @nxtes8299
    @nxtes8299 ปีที่แล้ว

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

  • @caragreene6029
    @caragreene6029 ปีที่แล้ว

    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!

  • @user-vz2yy1kn7x
    @user-vz2yy1kn7x 7 หลายเดือนก่อน

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

  • @jjajangmyeona
    @jjajangmyeona 3 ปีที่แล้ว +7

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

    • @Logan-zf1ft
      @Logan-zf1ft 3 ปีที่แล้ว

      how did you do ka?

  • @awayforthewin1325
    @awayforthewin1325 4 ปีที่แล้ว +2

    Best math teacher I've ever had

  • @ProffesionaIHater
    @ProffesionaIHater ปีที่แล้ว

    bro youre so wild for this i love you

  • @xog-hel
    @xog-hel ปีที่แล้ว

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

  • @regorberinguela8294
    @regorberinguela8294 5 ปีที่แล้ว +20

    Math is so hard ༼;´༎ຶ ۝ ༎ຶ༽

  • @wilson7594
    @wilson7594 2 ปีที่แล้ว

    Thank god that youre vid is free to dl

  • @Zrqkkk
    @Zrqkkk 6 หลายเดือนก่อน

    This guys teaches better than my Math teacher.

  • @nandwavictor69
    @nandwavictor69 ปีที่แล้ว

    Thanks you are so eloquent

  • @sjisjsissk
    @sjisjsissk ปีที่แล้ว

    This method for breaking up radicals is meta as hell

  • @pexis_7027
    @pexis_7027 2 ปีที่แล้ว

    thank you this made it so easy to make

  • @stevenl3157
    @stevenl3157 ปีที่แล้ว

    Thank you so much. God bless you

  • @MYfriendsknow
    @MYfriendsknow 2 ปีที่แล้ว

    Fantastic !! Thank you for all you do.

  • @steel0102
    @steel0102 ปีที่แล้ว +1

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

  • @EliStettner
    @EliStettner 3 ปีที่แล้ว +1

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

    • @DMAcademy23
      @DMAcademy23 3 ปีที่แล้ว

      th-cam.com/video/8TmUUUql1SY/w-d-xo.html
      This might help you.

  • @eedle6428
    @eedle6428 5 ปีที่แล้ว +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 ปีที่แล้ว

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

    • @bly5216
      @bly5216 2 ปีที่แล้ว

      Did you figure it out?

    • @77lowend
      @77lowend 2 ปีที่แล้ว

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

    • @77lowend
      @77lowend 2 ปีที่แล้ว

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

    • @samonnathan2652
      @samonnathan2652 ปีที่แล้ว

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

  • @wilson7594
    @wilson7594 2 ปีที่แล้ว

    Youre my teacher now

  • @user-wk2fk8qn1y
    @user-wk2fk8qn1y 7 หลายเดือนก่อน

    Thanks!

  • @yusra0308
    @yusra0308 8 หลายเดือนก่อน

    THANKYOU SO MUCH I GET IT

  • @pietrorossi9165
    @pietrorossi9165 2 ปีที่แล้ว

    Awesome video!

  • @msimon1984
    @msimon1984 วันที่ผ่านมา

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

  • @Victory_Accomplished
    @Victory_Accomplished 3 ปีที่แล้ว +1

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

  • @bluebubbles2735
    @bluebubbles2735 4 ปีที่แล้ว +1

    Thank you ❤️🤗🇵🇭

  • @ameliaestrada4712
    @ameliaestrada4712 2 ปีที่แล้ว +1

    This is really HARD I CAN'T 😌😌😌

  • @axelJeans27
    @axelJeans27 3 ปีที่แล้ว

    Genious in math..how to be you?

  • @deltafoxtrotdx
    @deltafoxtrotdx ปีที่แล้ว

    What if the index is different

  • @beggarr8423
    @beggarr8423 6 ปีที่แล้ว +1

    ty

  • @tti4919
    @tti4919 5 ปีที่แล้ว +1

    Much love

  • @moneysoles5185
    @moneysoles5185 4 ปีที่แล้ว +1

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

  • @jess7cha
    @jess7cha 3 ปีที่แล้ว

    Your voice is great

  • @biohazard016
    @biohazard016 ปีที่แล้ว +3

    Bro stop looking at the comments and listen

  • @cloakfps4888
    @cloakfps4888 3 ปีที่แล้ว

    thank you i love you

  • @dereksundberg781
    @dereksundberg781 9 หลายเดือนก่อน

    Me watching this an hour before my test 😢

  • @maddengodz7759
    @maddengodz7759 5 ปีที่แล้ว +4

    you going to fasssst

  • @pw9404
    @pw9404 3 ปีที่แล้ว

    I can’t even understand my teacher lmao

  • @lalasisters1473
    @lalasisters1473 5 ปีที่แล้ว +2

    Your the reason I’m passing

  • @jessicafowler6511
    @jessicafowler6511 4 ปีที่แล้ว +1

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

  • @SneakyThew
    @SneakyThew ปีที่แล้ว +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 9 หลายเดือนก่อน

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

  • @haachama-chama4071
    @haachama-chama4071 4 ปีที่แล้ว +6

    Im dead tmrw

  • @chii6050
    @chii6050 10 หลายเดือนก่อน

    Ayeee galing mo tlaga mam

  • @cachalittlevideos7530
    @cachalittlevideos7530 5 ปีที่แล้ว +1

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

    • @pyro7435
      @pyro7435 5 ปีที่แล้ว

      Its cube root not square root

  • @imnothappyimgay4115
    @imnothappyimgay4115 3 ปีที่แล้ว

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

  • @JRenaeK
    @JRenaeK 4 ปีที่แล้ว +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 ปีที่แล้ว +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.

  • @AwesomeH2100
    @AwesomeH2100 11 หลายเดือนก่อน

    what if the index number is different

  • @zenoxoxo
    @zenoxoxo 2 ปีที่แล้ว

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

    • @hanahikaru7069
      @hanahikaru7069 2 ปีที่แล้ว

      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

  • @valerdenn
    @valerdenn 2 ปีที่แล้ว +1

    i love you

  • @hammadkhan5610
    @hammadkhan5610 6 ปีที่แล้ว +5

    i still don’t get it

  • @lorddoome7001
    @lorddoome7001 3 ปีที่แล้ว

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

  • @Shiyu-bg5vo
    @Shiyu-bg5vo 2 หลายเดือนก่อน +1

    ❤❤❤

  • @felixanderdoloso8722
    @felixanderdoloso8722 3 ปีที่แล้ว

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

  • @sonofjesus1464
    @sonofjesus1464 5 ปีที่แล้ว +2

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

  • @adolfmasayon4047
    @adolfmasayon4047 5 ปีที่แล้ว +1

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

    • @livmashupmansen191
      @livmashupmansen191 3 ปีที่แล้ว

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

  • @shainebautista8986
    @shainebautista8986 3 ปีที่แล้ว +1

    still i dont understand :((

  • @sardajar41
    @sardajar41 2 ปีที่แล้ว

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

    • @Deadshotsabot
      @Deadshotsabot 2 ปีที่แล้ว

      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

  • @bodysync0070
    @bodysync0070 3 ปีที่แล้ว +1

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

  • @itriied5027
    @itriied5027 6 ปีที่แล้ว +3

    two times tree :)

  • @justinesadian1394
    @justinesadian1394 7 หลายเดือนก่อน +1

    hoe about square root • cube root?

  • @silents9084
    @silents9084 2 ปีที่แล้ว

    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.

  • @ufo_militia4341
    @ufo_militia4341 5 ปีที่แล้ว

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

    • @DavielCruzPersonal
      @DavielCruzPersonal 5 ปีที่แล้ว +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 ปีที่แล้ว

      Daviel Cruz thankyouuuu😭

  • @bluebubbles2735
    @bluebubbles2735 4 ปีที่แล้ว

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

    • @thaqibali547
      @thaqibali547 4 ปีที่แล้ว

      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.

  • @zuin5983
    @zuin5983 ปีที่แล้ว

    ITS STILL HARDDD

  • @eduardogaldino5785
    @eduardogaldino5785 2 ปีที่แล้ว

    It had to be you...

  • @sharmeennoman9239
    @sharmeennoman9239 3 ปีที่แล้ว

    Lisp

  • @phyllislay4258
    @phyllislay4258 4 ปีที่แล้ว

    can you help me

  • @bravikumar8950
    @bravikumar8950 16 วันที่ผ่านมา

    👍👍👍😊

  • @_sxnnymya157
    @_sxnnymya157 10 หลายเดือนก่อน

    I still have no clue

  • @theamazingbros7956
    @theamazingbros7956 4 ปีที่แล้ว

    Isn't 18 already a perfect 4th root?

    • @ryderknox8074
      @ryderknox8074 4 ปีที่แล้ว +1

      TheAmazing Bros no it’s not

  • @usapangdiskarte7986
    @usapangdiskarte7986 10 หลายเดือนก่อน

    3xcelent 😘😘

  • @WillBurns89
    @WillBurns89 2 ปีที่แล้ว

    Why is every math video involve whispering as quietly as possible

  • @angellagman9115
    @angellagman9115 3 ปีที่แล้ว

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

  • @daphoenix9330
    @daphoenix9330 4 ปีที่แล้ว

    Why am I in the smart kid's section of TH-cam?

    • @JRenaeK
      @JRenaeK 4 ปีที่แล้ว +4

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

  • @djc4962
    @djc4962 2 ปีที่แล้ว

    What the Hell well I F

  • @rafiqulhassan9975
    @rafiqulhassan9975 4 ปีที่แล้ว +2

    I just hate maths......😤😤😤

  • @yuiwee1793
    @yuiwee1793 6 หลายเดือนก่อน

    😢√2 • ³√2 • 6√2

  • @amari1368
    @amari1368 3 ปีที่แล้ว

    This still didn’t help I’m complete lost

    • @61subsandnovideos
      @61subsandnovideos 3 ปีที่แล้ว

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