# How do you add 3""^3sqrt(2)+5""^3sqrt(16)?

$3 \sqrt[3]{2} + 5 \sqrt[3]{16}$ needs to be simplified in order to add.In order to add radicals, index and radicand(inside the radical) need to be the same.
$3 \sqrt[3]{2} + 5 \sqrt[3]{16} =$
$3 \sqrt[3]{2} + 5 \sqrt[3]{8 \cdot 2} =$
$3 \sqrt[3]{2} + 5 \left(\sqrt[3]{8} \cdot \sqrt[3]{2}\right) =$
$3 \sqrt[3]{2} + 5 \cdot 2 \cdot \sqrt[3]{2} =$
$3 \sqrt[3]{2} + 10 \sqrt[3]{2} =$
$13 \sqrt[3]{2}$