Answer
$13\sqrt[3] 2$
Work Step by Step
$4\sqrt[3] 16+5\sqrt[3] 2=4\sqrt[3] (8\times2)+5\sqrt[3] 2=(4\times\sqrt[3] 8\times\sqrt[3] 2)+5\sqrt[3] 2=(4\times2\times\sqrt[3] 2)+5\sqrt[3] 2=8\sqrt[3] 2+5\sqrt[3] 2=(8+5)\sqrt[3] 2=13\sqrt[3] 2$
We know that $\sqrt[3] 8=2$, because $2^{3}=8$.
