Question

Multiplying Radicals - Urgent request attached

Answer 1

$\sqrt[3]{5} \cdot \sqrt{2} = \frac{\sqrt[3]{5 \cdot 2}}{\sqrt[3]{2}} \cdot \sqrt{2}$
$= \sqrt[3]{10} \cdot \sqrt[6]{2}$
$= \sqrt[3]{10} \cdot \frac{\sqrt[6]{200}}{\sqrt[6]{100}}$
$= \sqrt[3]{10} \cdot \frac{\sqrt[6]{200}}{\sqrt[6]{10^{2}}}$

$= \sqrt[6]{200}$

(ie B)

I may have performed unnecessary steps, but that's my process.