Question

Find the square root  the following by prime factorization. 

1156 

Answer 1

 Resolving 1156 into prime factors:
1156 = 2 x 2 x 17 x 17 

Grouping the factors into pairs of equal factors:
1156 = (2 x 2) x (17 x 17)
Taking one factor for each pair, we get the square root of 1156:
2 x 17 = 34