How do you factor and simplify the square root of 75?

1 Answer
Apr 7, 2015

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

sqrt75=sqrt25 x sqrt3

sqrt75= 5 x sqrt3 = 5sqrt3

3 is a prime number and does not have any factors and thus the square root of 3 cannot be simplified further.