Results 1 to 3 of 3

Thread: Not sure how to rationalize the denominator

  1. #1
    Member
    Joined
    Mar 2011
    Posts
    92

    Not sure how to rationalize the denominator

    Hi All,

    Simplify the following expression

    $\displaystyle
    \dfrac
    {
    (b+c)^{\frac{-3}{8}} -
    (b-c)^{\frac{-3}{8}}
    }
    {(b^2 - c^2)^{\frac{5}{8}}
    }
    $

    I am unclear on how to proceed with this problem. Your help is much appreciated. Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    12,880
    Thanks
    1946
    Try multiplying top and bottom by $\displaystyle \displaystyle \left(b^2 - c^2\right)^{\frac{3}{8}}$.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2011
    Posts
    92
    Ah cool! I see. So Rationalizing here is to try to get the power of the denominator = 1. That works out, Thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rationalize the denominator
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 9th 2008, 01:39 PM
  2. Rationalize the denominator
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Apr 19th 2008, 06:03 PM
  3. rationalize the denominator
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Aug 26th 2007, 04:48 AM
  4. Rationalize the Denominator
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Apr 14th 2007, 10:00 AM
  5. Rationalize each denominator
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Apr 16th 2005, 10:12 PM

Search Tags


/mathhelpforum @mathhelpforum