Math, asked by jmryt, 3 months ago

Find the cube root of 13824 by prime factorisation method.

Answers

Answered by Anonymous
6

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.

Answered by CopyThat
10

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

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