Answer:
A
Step-by-step explanation:
Numerator
(3x)(3x) = 9x^2
√9x^2 = 3x
Numerator = 3x
Denominator
√18y^2 = √18 · √y^2
√18 = 3√2
√y^2 = y
3√2y
Denominator = 3√2y
Now we need to rationalize the denominator, and get rid of the square root on the bottom
[tex]\frac{3x}{3\sqrt{2} y}[/tex] * [tex]\frac{3\sqrt{2} }{3\sqrt{2}}[/tex] = [tex]\frac{6x\sqrt{2} }{12y}[/tex] = [tex]\frac{x\sqrt{2} }{2y}[/tex]
