We have to first find the largest square factor in the number that you are square rooting. 75 = 25 x 3 25 is a square number! 25 = 5 2 √ 75 = √ 25 x √ 3 √ 75 = 5 x √ 3 = 5 √ 3 3 is a prime number and does not have any factors and thus the square root of 3 cannot be simplified further.
