Answer
$9\sqrt[3]{2}$
Work Step by Step
Using the properties of radicals, the expression $
\sqrt[3]{128}+\sqrt[3]{250}
$ simplifies to
\begin{array}{l}
\sqrt[3]{64\cdot2}+\sqrt[3]{125\cdot2}
\\=
4\sqrt[3]{2}+5\sqrt[3]{2}
\\=
9\sqrt[3]{2}
.\end{array}