To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator, which is 3+sqrt(6).

Here are the solutions to the problems: 1. Express (3)/(3-sqrt(6)) in the form x+msqrt(y). Step 1: To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator, which is 3+sqrt(6). (3)/(3-sqrt(6)) × 3+sqrt(6)3+sqrt(6) Step 2: Expand the numerator and denominator. Numerator: 3(3+sqrt(6)) = 9 + 3sqrt(6) Denominator: (3-sqrt(6))(3+sqrt(6)). This is in the form $(a-b)(a+b