Evaluate: 3√-512

Question

Evaluate:

\(\sqrt[3]{-512}\)

Answer 1

By prime factorization method we get;

512 = 2×2×2×2×2×2×2×2×2

= (2×2×2) × (2×2×2) × (2×2×2)

\(\sqrt[3]{-512}=-\sqrt[3]{(2\times2\times2)}\) = - 8