Question

find the cube root of 13824 through (estimation)
plz give correct answer​

Answer 1

Answer:

Cube root through prime factorisati...

Complete step-by-step solution -

Given number: 13824

In order to find the prime factorization of the number, we continuously divide the number with prime numbers.

Prime factorization of number 13824 is:

13824=2×2×2×2×2×2×2×2×2×3×3×313824=2×2×2×2×2×2×2×2×2×3×3×3

Further we make the triplet of factors:

13824=(2×2×2)×(3)

13824=24

Answer 2

Answer:

13824 = 2^9 x 3^3

So, cube root of 13824 = 2^3 x 3 = 24

Hence cube root of -13824 = -24.