Answer
$11\sqrt[3]{2}$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property, the given expression, $
4\sqrt[3]{2}+7\sqrt[3]{2}
,$ simplifies to
\begin{array}{l}\require{cancel}
(4+7)\sqrt[3]{2}
\\\\=
11\sqrt[3]{2}
.\end{array}