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:

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