To simplify the square roots, we apply the square root to the number first, followed by the variable. So for 9x^2, we take the square root of 9 (which is 3), then the square root of x^2 (which is x).
The square root of (9x^2) is 3x. The square root of (18y^2) is (3sqrt2)y. Dividing the first term by the second term gives:x / y(sqrt2).If the final answer must be rationalized, it should be x(sqrt2) / 2y.