#### Answer

$2$

#### Work Step by Step

To solve the item mentally, note that:
$\sqrt[6]{2(4)(8)} = \sqrt[6]{64}$ (because of the product rule for radicals)
Since $64=2^6$, then
$\sqrt[6]{64}=\sqrt[6]{2^6}=2$
Thus, the given expression is equal to $2$