Hi

How would you change the following root into the second expression. I am completely lost.

$\displaystyle \sqrt[5]{33}$ into $\displaystyle 2(1+\frac{1}{32})^\frac{1}{5}$

I am kind of cheating by saying $\displaystyle \sqrt[5]{33} = 2.0.12346617$

and working back from that, but I am sure there is a better way.

Any help much appreciated!

Thanks!