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Math Help - Rationalizing the Denominator

  1. #1
    Junior Member
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    Jan 2009
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    43

    Rationalizing the Denominator

    x^2 / (Square Root(x+1)) - (Square Root(x-1))

    How to I multiply the conjugate on the bottom? I really just don't know how to do it
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  2. #2
    MHF Contributor
    Joined
    Sep 2008
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    West Malaysia
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    Re :

     <br />
\frac{x^2}{\sqrt{x+1}-\sqrt{x-1}}

    Multiply the top and bottom by \frac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}

    and hence it equals \frac{x^2}{2}(\sqrt{x+1}+\sqrt{x-1})


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