Question

Find the cube root of 13824 by prime factorisation method.

Answer 1

13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

= 2³ × 2³ × 2³ × 3³.

Therefore, `root(3)(13824) = 2 xx 2 xx 2 xx 3 = 24`.