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I tried changing the surd in the denominator into a fractional indices but I have no idea what to do after that

mhm
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1 Answers1

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Hint

If the root in the denominator were a square root you would use the difference of two squares identity to rationalise it.

There is an identity for the difference of two cubes as well: $a^3-b^3=(a-b)(a^2+ab+b^2)$

So, let $(a-b)=\sqrt[3]{2}-1$.

This suggests that you multiply your expression by $\frac {(a^2+ab+b^2)}{(a^2+ab+b^2)}$.

robert timmer-arends
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