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Math Help - Not sure how to rationalize the denominator

  1. #1
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    Not sure how to rationalize the denominator

    Hi All,

    Simplify the following expression

    <br />
\dfrac<br />
{<br />
  (b+c)^{\frac{-3}{8}} - <br />
  (b-c)^{\frac{-3}{8}}<br />
} <br />
{(b^2 - c^2)^{\frac{5}{8}}<br />
}<br />

    I am unclear on how to proceed with this problem. Your help is much appreciated. Thanks.
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  2. #2
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    Try multiplying top and bottom by \displaystyle \left(b^2 - c^2\right)^{\frac{3}{8}}.
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  3. #3
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    Ah cool! I see. So Rationalizing here is to try to get the power of the denominator = 1. That works out, Thanks!
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