Answer
$2$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{2}\sqrt[3]{4}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{2(4)}
\\\\=
\sqrt[3]{8}
\\\\=
\sqrt[3]{(2)^3}
\\\\=
2
\end{array}