Find the cube root of 46656 by prime factorization method​

ANSWER

On prime factorising, we get,

46656=2×2×2×2×2×2×3×3×3×3×3×3

=2

3

×2

3

×3

3

×3

3

.

Then, cube root of 46656 is:

3

46656

=

3

2

3

×2

3

×3

3

×3

3

=2×2×3×3=36.

Therefore, 36 is the required solution.