Answer:
A. [tex] \frac{x \sqrt{2} }{2y} [/tex]
Step-by-step explanation:
[tex] \sqrt{9 {x}^{2} } \div \sqrt{18 {y}^{2} } \\ \\ = \frac{ \sqrt{9{x}^{2} } }{ \sqrt{18 {y}^{2} } } \\ \\ = \sqrt{ \frac{9 {x}^{2} }{18 {y}^{2} } } \\ \\ \\ = \sqrt{ \frac{ {x}^{2} }{2 {y}^{2} } } \\ \\ = \frac{x}{ \sqrt{2} y} \\ \\ = \frac{x \sqrt{2} }{2y} [/tex]
