Results 1 to 9 of 9
Like Tree4Thanks
  • 2 Post By DenisB
  • 1 Post By Idea
  • 1 Post By DenisB

Thread: Rationalize Denominator & Simplify

  1. #1
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    579
    Thanks
    32

    Rationalize Denominator & Simplify

    (24√3+27)/(2√3+3)

    (24√3+27)/(2√3+3)*
    (2√3-3)/(2√3-3)

    Numerator:

    (24√3+27)(2√3-3) becomes

    9(7 - 2√3)

    Denominator:

    (2√3+3)(2√3-3) becomes 3.

    We now have 9(7 - 2√3)/3, which further simplifies to 3(7 - 2√3).

    Correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Feb 2015
    From
    Ottawa Ontario
    Posts
    2,109
    Thanks
    438

    Re: Rationalize Denominator & Simplify

    Check it yourself : is your answer = original expression?
    Thanks from harpazo and topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    579
    Thanks
    32

    Re: Rationalize Denominator & Simplify

    Ok.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Dec 2018
    From
    India
    Posts
    16
    Thanks
    5

    Re: Rationalize Denominator & Simplify

    Solved incorrectly. Try again
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    579
    Thanks
    32

    Re: Rationalize Denominator & Simplify

    Quote Originally Posted by mak29 View Post
    Solved incorrectly. Try again
    Thanks for letting me know.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member
    Joined
    Jun 2013
    From
    Lebanon
    Posts
    932
    Thanks
    461

    Re: Rationalize Denominator & Simplify

    computer says

    $\frac{24\sqrt{3}+27}{2\sqrt{3}+3}=21-6 \sqrt{3}$
    Thanks from harpazo
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    Joined
    Feb 2015
    From
    Ottawa Ontario
    Posts
    2,109
    Thanks
    438

    Re: Rationalize Denominator & Simplify

    Quote Originally Posted by mak29 View Post
    Solved incorrectly. Try again
    WHY? His solution is 3(7 - 2sqrt(3)) which is correct...
    Thanks from harpazo
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    579
    Thanks
    32

    Re: Rationalize Denominator & Simplify

    Quote Originally Posted by DenisB View Post
    WHY? His solution is 3(7 - 2sqrt(3)) which is correct...
    So, I am correct. Why try again?
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Newbie
    Joined
    Dec 2018
    From
    India
    Posts
    16
    Thanks
    5

    Re: Rationalize Denominator & Simplify

    Quote Originally Posted by mak29 View Post
    Solved incorrectly. Try again
    I'm so sorry .
    I just misread the ques.

    You have solved it correctly.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. rationalize denominator
    Posted in the Algebra Forum
    Replies: 5
    Last Post: Apr 14th 2010, 06:19 PM
  2. Replies: 2
    Last Post: Mar 14th 2010, 08:36 PM
  3. "rationalize the denominator and simplify"
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Feb 6th 2010, 03:46 PM
  4. Rationalize the denominator
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Apr 19th 2008, 07:03 PM
  5. Rationalize each denominator
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Apr 16th 2005, 11:12 PM

/mathhelpforum @mathhelpforum