Question

Simplify:
$2\sqrt[3]{37}\times 3\sqrt[3]{34}$.

Answer 1

The given surds can be simplified as follows:

$2\sqrt[3]{37}\times 3\sqrt[3]{34}=(2\times 3)\times \left(\sqrt[3]{37\times 4}\right)=6\sqrt[3]{328}$.

Hence, $2\sqrt[3]{37}\times 3\sqrt[3]{34}=6\sqrt[3]{328}$ .