Question

How to find Square root by Prime Factorization​

Answer 1

Step-by-step explanation:

To find the square root of a by using the prime factorization method when a given number is a perfect square:

step -1 Resolve the given number into prime factors.

step -2 make pairs of similar factors.

step -3 take the product of prime factors using over factors out of every pair.

For example-- find the square root of 484 by prime factorization method

sol- resolving 484 as the product of primes we get,

484=2×2×11×11

√484=√2×2×11×11

=2×11

therefore, √484=22