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.