Question

find the square root of 1764 by finding prime factors

Answer 1

1764 = 2 x 882

= 2 x 2 x 441

= 2 x 2 x 3 x 147

= 2 x 2 x 3 x 3 x 49

= 2 x 2 x 3 x 3 x 7 x 7

(1764)^1/2 = (2 x 2 x 3 x 3 x 7 x 7)^1/2

(1764)^1/2 = 2 x 3 x 7

Square root of 1764 = 42

Hope this helps! :)