Answer
$2\sqrt[4]{2}$
Work Step by Step
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt[4]{32}
,$ is
\begin{array}{l}\require{cancel}
\sqrt[4]{16\cdot2}
\\\\=
\sqrt[4]{(2)^4\cdot2}
\\\\=
2\sqrt[4]{2}
.\end{array}