Answer
$2\sqrt[3]{2}$
Work Step by Step
Getting the factor that is a perfect root of the index, the given expression, $
\sqrt[3]{16}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{8\cdot2}
\\\\=
\sqrt[3]{(2)^3\cdot2}
\\\\=
2\sqrt[3]{2}
.\end{array}
