Question

Find the cube root of 512​

Answer 1

`\sqrt[3]{512} = 8`

Explanation:

`\sqrt[n]{x} = x^ {(1)/(n)}`

`\sqrt[3]{512} = \sqrt[3]{2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{(1)/(3)}\\\\ = 2^{ 9 * (1)/(3)} \\\\= 2^3\\\\ = 8`