Question

Find the cube root of the following number  8 × 125 .

Answer 1

Property:
For any two integers a and b,

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

From the above property, we have:

\[\sqrt[3]{8 \times 125} = \sqrt[3]{8} \times \sqrt[3]{125} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{5 \times 5 \times 5} = 2 \times 5 = 10\]