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Math Help - Rationalizing teh demonitator

  1. #1
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    Nov 2008
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    Rationalizing teh demonitator

    I need help rationalizing the denominator for:

    1/(x^(1/3) + 1)

    I have no idea where to start and It's really bugging me.
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  2. #2
    Junior Member
    Joined
    Oct 2008
    From
    Seattle, Washington
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    63
    Think of the expression in the denominator as one of the two factors in a sum of cubes. If we multiply top and bottom by the other factor, then we will get x+1 in the denominator of the product.

    \frac{1}{\sqrt[3]{x} + 1} \cdot \frac{\sqrt[3]{x^2} - \sqrt[3]{x} + 1}{\sqrt[3]{x^2} - \sqrt[3]{x} + 1} = ?

    Cheers,

    ~ Mark
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