Question

find the cube root of (- 13824) by
prime factorization method​

Answer 1

On prime factorising, we get,

13824=3×3×3×2×2×2×2×2×2×2×2×2

=2³×2³ ×2³ ×3³ =24³

Then, cube root of 13824 is: 3√ 13824 =3√24³= 24 .

HOPE THIS WILL HELP YOU.

Answer 2

Answer:

In order to find the prime factorization of the number, we continuously divide the number with prime numbers. Further simplifying the RHS and writing it in the form of a cube. Hence, the cube root of 13824 is 24.

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