Question

Find the simplified form of the expression $\frac{(x^{2}y{)}^3}{x^7{y}^2}\times \sqrt{xy}$ .

• A. $\frac{y\sqrt{y}}{\sqrt{x}}$
• B. $\frac{3\sqrt{y}}{\sqrt{x}}$
• C. $\sqrt{\frac{3y}{x}}$
• D. $\frac{y}{\sqrt{xy}}$

Answer 1

The correct option is A $\frac{y\sqrt{y}}{\sqrt{x}}$

We need to simplify $\frac{x^6.y^3}{x^7.y^2}\times \sqrt{xy}$
$=$ $\frac{y}{x}\times \sqrt{xy}$ [By cancelling the xy terms]
$=$ $\frac{y\times \sqrt{x}\times \sqrt{y}}{\sqrt{x}\times \sqrt{x}}$
$=$ $\frac{y\sqrt{y}}{\sqrt{x}}$