Question

Multiplying Radicals - Urgent request attached

Answer 1

`\sqrt[3]{5} \cdot √(2) = \frac{\sqrt[3]{5 \cdot 2}}{\sqrt[3]{2}} \cdot √(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.