Question

Find the cube root of 13824 by prime factorisation method.

Answer 1

Prime factorisation of 13824:

13824 = (2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)

13824 = 2^3×2^3×2^3×3^3

13824 = 2^9×3^3

Cube root = 2^3×3 = 8×3 = 24

Therefore the cube root of 13824 is 24.

Answer 2

Question: Find the cube root of 13824 by prime factorisation method:

Answer:

13824 = (2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)

13824 = 2^3×2^3×2^3×3^3

13824 = 2^9×3^3

Cube root = 2^3×3 = 8×3 = 24

24 is your answer