Evaluate: 3√4096

Question

Evaluate:

\(\sqrt[3]{4096}\)

Answer 1

By prime factorization method we get;

4096 = 2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2

= (2 ×2 ×2) × (2 ×2 ×2) × (2 ×2 ×2) × (2 ×2 ×2)

= 2³ × 2³ × 2³ × 2³

\(\therefore \sqrt[3]{4096}\) = (2 ×2 ×2 ×2) = 16