Question

In the following exercises, simplify and rationalize the denominator.

$\sqrt{\frac{8}{45}}$

Short answer

$\frac{2\sqrt{10}}{15}$

Step-by-step solution

Step 1. Given Information

$\sqrt{\frac{8}{45}}$

Step 2. Rationalize 

$$\begin{gathered} \sqrt{\frac{8}{45}} \\ \frac{\sqrt{8}}{\sqrt{45}}\times \frac{\sqrt{45}}{\sqrt{45}} \\ \frac{6\sqrt{10}}{45} \\ \frac{2\sqrt{10}}{15} \end{gathered}$$