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.
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.
$\displaystyle \frac{1}{\sqrt[3]{x} + 1} \cdot \frac{\sqrt[3]{x^2} - \sqrt[3]{x} + 1}{\sqrt[3]{x^2} - \sqrt[3]{x} + 1} = ?$
Cheers,
~ Mark