Question

In the following exercises, simplify by rationalizing the denominator

$\frac{\sqrt{150x^2{y}^6}}{\sqrt{6x^4{y}^2}}$

Short answer

$\frac{5y^2}{x}$

Step-by-step solution

Step 1. Given Information

$\frac{\sqrt{150x^2{y}^6}}{\sqrt{6x^4{y}^2}}$

Step 2. Rationalize

$$\begin{gathered} \frac{\sqrt{150x^2{y}^6}}{\sqrt{6x^4{y}^2}} \\ \frac{5\sqrt{2}\sqrt{3}x{y}^3}{\sqrt{2}\sqrt{3}{x}^{2}y} \\ \frac{5y^2}{x} \end{gathered}$$