Question

find the square root 11664 by prime factorisation



please explain with prime factorization method pleaseeeee​

Answer 1

Resolve the given number into prime factors. We get that,

→ 11664 = 4 × 4 × 9 × 9 × 3 × 3

Now, make the pairs of common factors.

→ 11664 = 4 × 4 × 9 × 9 × 3 × 3

Pick out one common factor from each pair. Product of those selected common factor is the square root of 1164.

→ √11664 = 4 × 9 × 3

→ √11664 = 108

Therefore, square root of 11664 is 108.