Using Prime Factorisation Find The Cube Roots Of (A) 512 and (B) 2197

The cube root of 512 by prime factorization method

The cube root of 512 by prime factorization method

512 = (2×2×2) × (2×2×2) × (2×2×2)}

= 8 * 8 * 8

The cube root of 512 is 8.

\(\begin{array}{l} \sqrt[3]{512} = \sqrt[3]{8} \end{array} \)

The cube root of 2197 by prime factorization method

The cube root of 2197 by prime factorization method

2197 = 13 * 13 * 13

The cube root of 2197 is 13

\(\begin{array}{l} \sqrt [3]{2197} = \sqrt[3]{13} \end{array} \)

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