Question

Find the cube root of 512​

Answer 1

Answer:

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

Step-by-step explanation:

$\sqrt[n]{x} = x^ {\frac{1}{n}}$

      $\sqrt[3]{512} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 }\\\\ = \sqrt[3]{2^9} \\\\= (2^9)^{\frac{1}{3}}\\\\ = 2^{ 9 \times \frac{1}{3}} \\\\= 2^3\\\\ = 8$