What is the square root of 144?

1 Answer
Apr 14, 2015

We can use the Prime Factorisation Technique to solve for the Square root of 144

144 = 2 * 2 * 2 * 2 * 3 * 3
144 = 2 ^ 4 * 3 ^2

sqrt 144 = sqrt(2^4 * 3^2)

= sqrt ((2^2)^2 * 3^2)

= 2^2 * 3

= 4*3

= 12

color(green)(sqrt 144 = 12