Solving Radical Equations With Square Roots, Cube Roots, Two Radicals, Fractions, Rational Exponents

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  • Опубликовано: 5 сен 2024
  • This Algebra 2 video tutorial focuses on solving radical equations with square roots, cube roots, two radicals, fractions, and rational exponents.
    Fundamental Theorem of Algebra: • Fundamental Theorem of...
    Rational Expressions - Basic Intro:
    • Rational Expressions -...
    Simplifying Rational Expressions:
    • Simplifying Rational E...
    Multiplying Rational Expressions:
    • Multiplying Rational E...
    Dividing Rational Expressions:
    • Dividing Rational Expr...
    ______________________________________
    Adding & Subtracting Rational Expressions:
    • Adding and Subtracting...
    Rational Expressions - Unlike Denominators:
    • Adding and Subtracting...
    Simplifying Complex Rational Expressions:
    • Simplifying Complex Ra...
    How To Solve Rational Equations:
    • Solving Rational Equat...
    Rational Equations - Extraneous Solutions:
    • Extraneous Solutions o...
    _____________________________________
    Horizontal and Slant Asymptotes:
    • Horizontal Asymptotes ...
    Finding Rational Functions Given 2 Points:
    • How To Find a Rational...
    Rational Functions - X and Y Intercepts:
    • How To Find The X and ...
    Graphing Advanced Rational Functions:
    • Graphing Advanced Rati...
    Rational Inequalities:
    • Rational Inequalities
    ________________________________________
    Final Exams and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

Комментарии • 216

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  7 месяцев назад +1

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

  • @jeysreeec1821
    @jeysreeec1821 5 лет назад +712

    yes the math videos from 2006 IS REALLY HELPING

    • @winterrain1947
      @winterrain1947 4 года назад +83

      I hate that commercial

    • @notjeb_9409
      @notjeb_9409 4 года назад +35

      that ad just popped up for me lol. i was ticked off by it too and its not bc an ad popped up in the middle of my 2017 video grr

    • @AppleBottomJ
      @AppleBottomJ 4 года назад +2

      Jeysreee C 😂

    • @antonioguinoo
      @antonioguinoo 4 года назад +3

      Stupid ad i hate it

    • @_buany8701
      @_buany8701 4 года назад +4

      THIS COMMENT

  • @AngelTaylorgang809
    @AngelTaylorgang809 5 лет назад +173

    the only YT channel that has been saving my ass since high school all the way to college

  • @RoyMane
    @RoyMane 4 года назад +65

    Damn can they make a simpler way to go about solving this bullshit. I done killed about 500 trees just to solve 2 damn equations. They need to figure something else out.

    • @HersheyKisss
      @HersheyKisss 4 года назад +3

      🤣💯

    • @clocked0
      @clocked0 4 года назад +9

      "What did it cost?"
      500 trees and my fucking sanity, Gamora

    • @troyc333
      @troyc333 4 года назад +2

      LMAO!...now that's funny.

    • @winterrain1947
      @winterrain1947 4 года назад +1

      Yeah, good point about how much paper gets used up on this math! I think I'll try a dry erase board.

  • @chaseditta2507
    @chaseditta2507 9 месяцев назад +6

    You just single handedly taught me more math in 18 minutes than I learned in half a semester of my math class. I love you.

    • @jin_cotl
      @jin_cotl 3 месяца назад

      Rizz class 🗿
      (Joke)

  • @lizziepadalecki8116
    @lizziepadalecki8116 4 года назад +43

    THANK YOU SO MUCH. Math has been absolutely destroying me even though I have never worked so hard in school in my whole life. Thank you.

  • @tdjkhazard4522
    @tdjkhazard4522 5 лет назад +68

    Dude thank you. Whenever I ask for help my math teacher always says “you should’ve paid attention” or “I already taught this”

    • @winterrain1947
      @winterrain1947 4 года назад +22

      I had teachers like that. Impossible to learn from someone who thinks you should totally understand everything the first time it was explained.

    • @mhmdyousef2213
      @mhmdyousef2213 3 года назад

      same

  • @prettyalina7237
    @prettyalina7237 4 года назад +18

    you're out here saving lives,thank you kind sir.

  • @AriT105
    @AriT105 4 года назад +8

    I want this guy to be my math teacher since teachers tend to NOT ERASE EVERYTHING ON THE WHITE BORED but this dude erased what he didn’t crop at 8:37 and I love that 💯

  • @renewd
    @renewd 7 лет назад +39

    You are an excellent teacher and I thank you for this presentation. I'm happy you didn't end at about 45 minutes when you said you were done, that's when things got really interesting. Your clarification of when to use the absolute value sign on the variable was so clear and concise. This was exactly what I was looking for and I am very grateful to you.

  • @Nugget.breathes
    @Nugget.breathes 4 месяца назад +1

    My math teacher was absent and the sub doesn't explain it in a way I can understand. I was the only one who will finish the test today, but my math teacher left these videos! You're a life saver! 😭

  • @hibah_Arts
    @hibah_Arts Месяц назад +1

    i am 22 years old. Preparing to enroll into online college classes your videos have provided with so much information then before. I genuinely feel more confident and brave enough to solve any mathematical which comes my way. You are doing a terrific job teaching these stuff. Very huge round of applause

  • @renzo3174
    @renzo3174 3 года назад +12

    Great video, I'm Italian and I'm studying electronics at 47 and I have to review the equations and your videos are exceptional.
    Thanks so much.

  • @birukkifle8447
    @birukkifle8447 7 лет назад +13

    Best of the Best mentor!!! You know exactly what student want and you know how to present it!!! Stay Blessed!

  • @musahadam6775
    @musahadam6775 3 года назад +3

    You have safe me a lot i was weak at maths becus of you my maths has improve from zero to 50%. May God richly bless you for sharing you knowledge with us.

  • @robertjohnson161
    @robertjohnson161 4 года назад +5

    If I had this guy teaching math and science to me from 14 on, NASA here I would have come. Thank you.

  • @lucasvic7010
    @lucasvic7010 5 лет назад +26

    Thanks, I have Test tommorow.😃

  • @georgesadler7830
    @georgesadler7830 2 года назад +5

    MR. Organic Chemistry Tutor, thank you for another awesome video/lecture on Solving Radical Equations With Square/Cube Roots, Two Radicals, Fractions and Radicals Exponents in Algebra. These Algebraic topics will only improve Mathematical and Analytical skills for students/non-students world wide.

  • @dabobs4519
    @dabobs4519 2 года назад

    Bro my math teacher legit just solves it in her head writes it on the white board and then erases it 2 seconds later. You are such a big help bro, keep it up.

  • @zizo-pf2dl
    @zizo-pf2dl Год назад +2

    man i am so grateful for ur work keep going bro u dont know how that saves millions of students

  • @bukuchip3257
    @bukuchip3257 4 года назад +7

    god freaking hell, why can't my math teacher be this guy!

  • @joeysteiner4619
    @joeysteiner4619 3 года назад +2

    I have online School and you have just saved me from a zero THANK YOU!

  • @ordinaryblueberry4524
    @ordinaryblueberry4524 3 года назад +2

    People say middle school is a nightmare
    HEELL NAAH IT’S NOT WITH THIS CHANNEL!!

    • @franverer7549
      @franverer7549 2 года назад

      ain't no way you're seeing this is middle school

  • @andresfigueroa3017
    @andresfigueroa3017 7 лет назад +6

    thank you so much dude! i was really not understanding in class but you made it so easy, now hopefully i remember this for tomorrows quiz xD

  • @catjam8564
    @catjam8564 Год назад +1

    My grades have been dropping since I started taking algebra thanks for the help u are more helpful than a normal teacher

  • @jamesmorris828
    @jamesmorris828 2 года назад +2

    You're literally the reason my GPA is what it is.

  • @1021.mn_yy
    @1021.mn_yy Год назад

    This is the easiest way to understand it,and more clearly,Thanks!!

  • @Tekna95
    @Tekna95 7 лет назад +5

    This channel has really saved my ass

  • @alanlopez3153
    @alanlopez3153 4 года назад +7

    10:40 a square root can have 2 answers on that case -2.5 or 2.5

    • @crumfit1232
      @crumfit1232 4 года назад +1

      No, that's only when you take the square root on both sides of the equation, that equation already had the square root so its not plus and minus. Same reasoning the square root of 25 is just 5, not 5 and -5.

  • @shonnonmiller6108
    @shonnonmiller6108 7 лет назад +4

    i love this.. he took some hard maths question..

  • @zahando1732
    @zahando1732 5 лет назад +3

    This guy is a hero

  • @samanthadisanti2729
    @samanthadisanti2729 5 лет назад +4

    Do you only check to see if the solutions work if there are two solutions or should you do it every time?
    For example: Would I check with just the solution x=9? Or would I check if it was a quadratic and there were two zeroes found?

    • @iamathing7510
      @iamathing7510 5 лет назад +2

      I know I am not the person that made this video, however if it helps, I believe I have an answer! My teacher told me that you must always check the answers you get (whether it is two solutions or not). I am not sure if my teacher was wrong, but either way checking your answers is a good idea! ^^
      I hope this helped!!

  • @______W_
    @______W_ 5 месяцев назад

    Thanks man! You really helped me out for my test!

  • @ministryoftruth8523
    @ministryoftruth8523 2 года назад +1

    The example at 2:50 actually has two solutions: X = 6 and X = -2

  • @mohamadfazli5575
    @mohamadfazli5575 2 года назад

    Well ,,done,,excellent,,I watched a few,,,but I only give you an excellent,,,you know why ? Because you started with very simple problem,,,

  • @Bombshell_Virgo
    @Bombshell_Virgo 3 года назад

    2021 and this is my go to math helper

  • @roaahedaya1779
    @roaahedaya1779 7 лет назад +16

    should I always plug in the solutions in the equation to make sure that the soultions satisfy the equation?

  • @natalierush8396
    @natalierush8396 2 года назад

    yo this entire channel is literally saving my career+life. I wish I was joking lol

  • @fuzionxdoctor3576
    @fuzionxdoctor3576 5 лет назад +21

    I will let you guys know if I passed my radical equations quiz lol. I'm very ass at math wish me luck

    • @fuzionxdoctor3576
      @fuzionxdoctor3576 5 лет назад +8

      I got a 60 time to go committe suicide

    • @Brianbravo2000
      @Brianbravo2000 5 лет назад +4

      @@fuzionxdoctor3576 don't do it stop and that's actually pretty good keep trying hard

    • @gangmeat9263
      @gangmeat9263 5 лет назад +6

      @@Brianbravo2000 how is a 60 good lmao

    • @RoyMane
      @RoyMane 4 года назад +1

      gang meat it’s still passing dipshit

    • @monroe7532
      @monroe7532 4 года назад

      Roy Mane 65 is passing

  • @valtmystic899
    @valtmystic899 3 года назад +2

    you and sal with your different colored writing and black background are going to carry me to 1400+ on the Sat.

  • @ramondeangelo3793
    @ramondeangelo3793 2 года назад

    Always an awesome lesson. When I get a job, I will buy your hoodie.

  • @didequen3339
    @didequen3339 5 лет назад

    for the equation of sqrt(x+1) = 2x-13. Before you do anything else, you must condition it x+1 >= 0 and 2x-13 >=0 therefore solution must be greater than 13/2 = 7.5. once you get solution, you can immediately drop x=5.25 out, keep x=8

    • @kingkovic7830
      @kingkovic7830 2 года назад

      can you explain a bit more on how you did the condition x+1>=0 and 2x-13=0 so that i can understand everything else.
      thx

    • @reneese5779
      @reneese5779 Год назад

      I wanna know how he got the -13 there

  • @RedEyeApe
    @RedEyeApe 6 лет назад +4

    thank you very much for the help

  • @tajbibishamim8085
    @tajbibishamim8085 5 лет назад

    14.57 should be sq.rt. of x shd be taken as denominator and solve left hand side and you get 9/6 which becomes 3/2=6 sort. x
    Divide both side by 6 and you get 1/4=sq.rt.x so the answer is 1/16.

  • @roshiniselvakumar5246
    @roshiniselvakumar5246 10 месяцев назад

    thank you so much

  • @lilisosa8713
    @lilisosa8713 6 лет назад +1

    Thank you for this video , it really help me !!!!

  • @aarabchoudhary3890
    @aarabchoudhary3890 3 года назад

    Thanks for this video .that is very helpful for us

  • @marcasu
    @marcasu 3 года назад

    Thanks 🌾😇 i have a test in 3 days

  • @daevkth1460
    @daevkth1460 5 лет назад +1

    I have a test tomorrow all about radicals, wish me luck 🙏

  • @Rxeira
    @Rxeira 2 года назад +1

    Y’all my algebra eoc is tomorrow 👺 wish me luckk

  • @theMiaow
    @theMiaow 4 года назад +1

    What’s the equivalent definition of “Conjugate surds” in America Curriculum?

  • @mssn3166
    @mssn3166 Год назад

    I needed this. Thank you!

  • @ii7267
    @ii7267 3 года назад

    Haha my favorite online teacher

  • @batrisyiaatherna9598
    @batrisyiaatherna9598 3 года назад

    i love you so much. thank you for exist in this world

  • @z33pys5
    @z33pys5 4 года назад +1

    This saved me

  • @arsemah6093
    @arsemah6093 4 года назад

    If there is no number next to the equal sign do we say it is equal to zero? Or do we just square it and say its square is equal to a square?

  • @danielo9097
    @danielo9097 4 года назад +1

    Thank you man

  • @Wwjd606
    @Wwjd606 2 года назад

    thank you this is really helpful

  • @justsomeguywithoutamustach6654
    @justsomeguywithoutamustach6654 5 лет назад +1

    IN THE FIRST 2 EXAMPLE CAN YOU DO THE CHECKING?

  • @devendrasingh-pm7zy
    @devendrasingh-pm7zy 4 года назад

    very good method

  • @raylittlerock3940
    @raylittlerock3940 5 лет назад

    3:45
    In Blitzer I see this rule :
    If X^(n/m)=A then, IF n IS EVEN, then, X= PLUS OR MINUS A^(m/n)
    In the equation that is solved here, n=2, so n is even.
    So
    (1) (x-4)^2/3=4
    (2) (cube root of x-4) ^2 =4
    (3) cube root of x-4 = plus or minus (square root of 4)=plus or minus 2
    (4) (cube root of x-4)^3 = ( plus or minus 2)^3 = plus or minus 8
    (5) x-4=plus or minus 8
    (6) x = 12 or x= -4
    Is this correct?

  • @richardbridgeman8234
    @richardbridgeman8234 4 года назад

    Thank you man this helped a-lot .

  • @friedchicken1
    @friedchicken1 3 года назад +1

    we learn on youtube and on our spare time we go hang out with our classmates and teachers

  • @nayanajithd
    @nayanajithd 3 года назад

    thank you sir

  • @amenu_deco
    @amenu_deco 7 месяцев назад

    What is the app u used

  • @Chermth
    @Chermth 2 года назад +1

    Math makes my head hurt 🤯

  • @jin_cotl
    @jin_cotl 3 месяца назад

    11:50 I think you still have to foil this even if it’s positive

  • @adduun
    @adduun 3 года назад

    1:08 x = 61

  • @andressantana5369
    @andressantana5369 3 года назад

    Thanks for this great video, but why do we need to foil in the third exercise? I dont get it. :(

    • @bbw1979
      @bbw1979 3 года назад

      It’s like doing 2 digit multiplication.
      You multiply the ones and tens digit in one one number by the ones and tens digits it the other number
      12^2 = 12*12 = (10+2)(10+2) = 100+20+20+4 = 144
      The mistake that people make is like doing (10+2)^2 as 10^2+2^2=100+4=104 which as you know does not equal 144

  • @mr.jemboy6948
    @mr.jemboy6948 5 лет назад +2

    3(2x-4)^2/3+5=17
    The answers are x=6 and x=-2

  • @jin_cotl
    @jin_cotl 3 месяца назад

    7:22 negative 53 squared

  • @ingeniumpregium2679
    @ingeniumpregium2679 3 года назад

    what about tricky ones like ✓x² = x, you'd expect it to be x = x always true, but the result is x ≥ 0

  • @muntianuanisia7498
    @muntianuanisia7498 4 года назад

    (a+b)^2=(a-b)(a+b)

  • @FoodBasics4
    @FoodBasics4 7 лет назад +1

    how would you solve this equations square root 2x - square root of x+1 = 1

    • @adamabdallah2604
      @adamabdallah2604 7 лет назад

      Cynthia Alley you square both sides to remove the square root so you will be left with. 2x-x+1=1.
      Now 2x-x=1-1
      2x-x=x
      1-1=0.
      So x =0.
      Fill in the answer in the original equation it will be 1=1

    • @zeroanims4113
      @zeroanims4113 5 лет назад

      @@adamabdallah2604 hey question, can you actually square the sqrt of 2x - sqrt of x + 1 = 1
      Because as far as I know you can't square two terms separated by plus sign or minus sign? (unless you're gonna foil it, which I think you didn't..?)

  • @RebekahG-jj3bf
    @RebekahG-jj3bf 5 месяцев назад

    but what if it is like the square root of x plus 4 minus 3 equals 1how would i solve it with a low number?

    • @jin_cotl
      @jin_cotl 3 месяца назад

      The answer will be 0.

  • @bryceseiple2032
    @bryceseiple2032 2 года назад

    Not me in the bathroom during my final to learn how to do this last second

  • @bananzy9205
    @bananzy9205 7 месяцев назад

    time stamp 4:53

  • @user-db4pq4yb7z
    @user-db4pq4yb7z 4 года назад

    شكرا

  • @GameMaster-pz9pw
    @GameMaster-pz9pw 5 лет назад

    What if there's a square root on one side and a square on the other? Something like this; sqrt(x-5)=x^2+5. I've been trying this for a while and get no where.

  • @felicity165
    @felicity165 5 лет назад

    Why is that the equation on 10:50 doesn't work? Can't the square root of 6.25 be -2.5? I thought normal radicals usually have both negative and positive roots? Isn't -2.5^2 the square root of 6.25 as well? X can be both 8 and 5.25.

  • @BORN-to-Run
    @BORN-to-Run 3 месяца назад

    I know this is an old video, but you didn't tell us WHY
    we're raising the second equation to the 3rd power, rather than to the 2nd power...!
    @2:14

    • @jin_cotl
      @jin_cotl 3 месяца назад

      Um because the operation has a cube root, it shows it right there on the left. There’s a root, and it’s to the third. Cube root.
      So inorder to cancel the root, you need to multiply both sides by the power of three.

    • @BORN-to-Run
      @BORN-to-Run 3 месяца назад

      @@jin_cotl TY, I see that now.

  • @kurdistanhomeschool4471
    @kurdistanhomeschool4471 7 лет назад +1

    I want to study online with you! Do you have online teaching tutorial sing in!!!!!!!!!!!!!!!!!!!!!

    • @yin-yangboi9168
      @yin-yangboi9168 3 года назад

      iu think u can check for him on study pug

  • @alondradelamora0917
    @alondradelamora0917 3 года назад

    4:42 this is what I’m looking for...

  • @jossy8343
    @jossy8343 Год назад

    why dont you move the 5 to the other side instead of dividing it on both sides?

    • @BeatEvanYT
      @BeatEvanYT 10 месяцев назад

      It’s the same thing just ignore it

    • @jin_cotl
      @jin_cotl 3 месяца назад

      Uh, which problem are you asking about? Can you link it?

  • @chanchalchandra9876
    @chanchalchandra9876 3 года назад

    It was very helpfull. Thanks for sharing 😊

  • @marshallsinger698
    @marshallsinger698 5 лет назад

    You have to do this in organic chem?! I’m doing this in algebra 2 ugh

  • @hninthazinpwint4572
    @hninthazinpwint4572 3 года назад

    My brain left my soul and body at fourth
    problem

  • @suchaqua2790
    @suchaqua2790 4 года назад

    fuck this quarantine sh*t i cant fricking learn by myself can it all end already, I thought I would never say this but i miss school :(

  • @tytooshiesty23
    @tytooshiesty23 3 года назад

    4:41

  • @destinysapproaching6996
    @destinysapproaching6996 6 лет назад

    Can you answer this one?
    Square root of (x-2)=square root of (x)-1

  • @mathiuescario3057
    @mathiuescario3057 7 лет назад +1

    The square root of 6.25 is +-2.5, not just +2.5, which means 5.25 is not an extraneous solution. Just saying.

    • @Kevessi
      @Kevessi 5 лет назад

      @John nope....nope you're not.

    • @n1vr132
      @n1vr132 5 лет назад

      Yes but again he is only considering the principal root. So negatives are going to be avoided. And to actually check if the final answer works you have to substitute this to the x in the equations and this works.

  • @sourav3747
    @sourav3747 6 лет назад

    Sir please solve this 60/5x =60/6x +12/60

    • @lightlessfade9342
      @lightlessfade9342 5 лет назад +1

      I can solve it
      60/5 x = 60/6 x + 12/60
      12x = 10x + 12/60
      LCD: 60
      Multiply by everything by 60
      (⁶⁰) 12x = (⁶⁰) 10x + (⁶⁰) 12/60
      720x = 600x + 12
      Move variable to left
      720x - 600x = 12
      120× = 12
      Divide both sides by 120
      × = ¹/¹⁰

    • @mattaragon3263
      @mattaragon3263 4 года назад

      LightlessFade thank you sir

  • @Bellahsnaa
    @Bellahsnaa Год назад

    My teacher said the answer was wrong even though i did it the exact same way 2:29

  • @keum8376
    @keum8376 Месяц назад

    book mark 4:00

  • @tajbibishamim8085
    @tajbibishamim8085 5 лет назад

    Put -32x-21x This is easier.

  • @user-uu6bf3yr6c
    @user-uu6bf3yr6c 6 лет назад

    Wow...that’s great😉

  • @11josiahf
    @11josiahf 6 лет назад

    thanks ♥

  • @tajbibishamim8085
    @tajbibishamim8085 5 лет назад

    15.26 is not right please do it again.

  • @frederickschreuder9834
    @frederickschreuder9834 5 лет назад +3

    How is 4+6 = to 8 and not 10

  • @sanopann1896
    @sanopann1896 2 года назад

    how come the 52 become 53 at 6:12 please tell me master