Question

Simplify:
$\sqrt[6]{62}\times \sqrt[6]{65}$.

Answer 1

The given surds can be simplified as follows:

$\sqrt[6]{62}\times \sqrt[6]{65}=\sqrt[6]{62\times 5}=\sqrt[6]{610}$.

Hence, $\sqrt[6]{62}\times \sqrt[6]{65}=\sqrt[6]{610}$.