Question

Find the square root  the following by prime factorization. 

 1764 

Answer 1

Resolving 1764 into prime factors:
1764 = 2 x 2 x 3 x 3 x 7 x 7 

Grouping the factors into pairs of equal factors:
1764 = (2 x 2) x (3 x 3) x (7 x 7)
Taking one factor for each pair, we get the square root of 1764:
2 x 3 x 7 = 42