Answer
$5\sqrt[3]{2}$
Work Step by Step
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt[3]{250}
,$ is
\begin{array}{l}\require{cancel}
\sqrt[3]{125\cdot2}
\\\\=
\sqrt[3]{(5)^3\cdot2}
\\\\=
5\sqrt[3]{2}
.\end{array}