Answer
30
Work Step by Step
We first combine this into one square root:
$ \sqrt {12 \times 75} =\sqrt {900}$
We see if any of the factors of a radical are perfect squares (meaning that their square root will be an integer) to see if the radical is in its most simplified form. Because 900 is a perfect square, we know that we can simplify:
$ \sqrt {900}=30$