(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Rationalize the denominator..

[tex]

\frac{1}{\sqrt[3]{a}+\sqrt[3]{b}+\sqrt[3]{c}}

[/tex]

2. Relevant equations

Algebraic equations.

3. The attempt at a solution

So using the form

a^{3}+ b^{3}+ c^{3}- 3abc= (a + b + c)(a^{2}+ b^{2}+ c^{2}- ab - bc - ca)

So it becomes

[tex]

\frac{\sqrt[3]{a^2}+\sqrt[3]{b^2}+\sqrt[3]{c^2} -\sqrt[3]{ab}-\sqrt[3]{bc}-\sqrt[3]{ca} }{a + b + c - 3 \sqrt[3]{abc}}

[/tex]

Actually I dunno what to do next

If i try (a+b)(a-b) then it doesnt work out ...

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# Homework Help: Rationalize the denominator

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