Answer
$2\sqrt[4]{5}$
Work Step by Step
$\sqrt[4]{8}\cdot \sqrt[4]{10}=\qquad $... apply $\sqrt[n]{a\cdot b}$ = $\sqrt[n]{a}\cdot \sqrt[n]{b}$
$=\sqrt[4]{8\cdot 10}=\sqrt[4]{2^{3}\cdot 2\cdot 5}$
$=\sqrt[4]{2^{4}\cdot 5}$
$= \sqrt[4]{2^{4}}\cdot \sqrt[4]{5}$
Apply $\qquad \sqrt[n]{y^{n}}=|y|,\qquad $ when n is even.
= $2\sqrt[4]{5}$
