Question

Evaluate: $$\sqrt[3]{8\times 17\times 17\times 17}$$

Answer 1

Property:
For any two integers a and b

$$\sqrt[3]{ab}=\sqrt[3]{a}\times \sqrt[3]{b}$$

Use above property and proceed as follows:

$$\sqrt[3]{8\times 17\times 17\times 17}=\sqrt[3]{2^3\times {17}^3}=\sqrt[3]{2^3}\times \sqrt[3]{{17}^3}=2\times 17=34$$