The square root of 12 is not a rational number because it has decimal points. The actual square root of 12 is 3.46410162. If you'd like the square root of 12, what you do simplify 12 into its factors. So you'd say that 12=3x2x2. You'd place these numbers under a square root. Since there are two 2's, you'd remove them and place them in front of the square root. You cannot remove the 3 from under .