# Question #dbcf5

Mar 29, 2017

$\sqrt[3]{2} \cdot \sqrt[6]{6} = \textcolor{g r e e n}{\sqrt[6]{24}}$
$\sqrt[3]{2} = \sqrt[6]{{2}^{2}}$
$\textcolor{w h i t e}{\text{XXX}} \sqrt[3]{2} \cdot \sqrt[6]{6} = \sqrt[6]{4} \cdot \sqrt[6]{6} = \sqrt[6]{24}$
Note that $\sqrt[6]{24}$ has no rational equivalent but is approximately equal to $1.69838$