Find the cube root of 512

Srijan asked Sep 5, 2022

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Srijan asked Sep 5, 2022

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16 votes

Answer:

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

Explanation:

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

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

Gazareth answered Sep 10, 2022

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