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 #