Question

Divide 9x^2 by 18y^2

Answer 1

Step-by-step explanation:

√9x2√18y2. √9=3. √x2=x. √18=√9×2=3√2. √y2=y. Therefore √9x2√18y2=3x3√2y = x√2y.

Answer 2

Answer:

A. $\frac{x \sqrt{2} }{2y}$

Step-by-step explanation:

$\sqrt{9 {x}^{2} } \div \sqrt{18 {y}^{2} } \\ \\ = \frac{ \sqrt{9{x}^{2} } }{ \sqrt{18 {y}^{2} } } \\ \\ = \sqrt{ \frac{9 {x}^{2} }{18 {y}^{2} } } \\ \\ \\ = \sqrt{ \frac{ {x}^{2} }{2 {y}^{2} } } \\ \\ = \frac{x}{ \sqrt{2} y} \\ \\ = \frac{x \sqrt{2} }{2y}$