Evaluate: 3√-216

Question

Evaluate:

\(\sqrt[3]{-216}\)

Answer 1

By prime factorization method we get;

216 = 2 ×2 ×2 ×3 ×3 ×3

= (2 ×2 ×2) × (3 ×3 ×3)

\(\sqrt[3]{-216}\) = - (2 ×3) = - 6