Question

Find the square root of 484 by prime factorization method​

Answer 1

Answer:

484=2*2*11*11

484=2²*11²

484=22²

hence the square root is 22 of 484

Answer 2

Answer:

Resolving 484 as the product of primes, we get

484 = 2 × 2 × 11 × 11 

√484 = √(2 × 2 × 11 × 11) 

= 2 × 11

Therefore, √484 = 22