Question

Hello, I need some help with this homework question, please?HW Q17

Answer 1

SOLUTION

The given expression is:

$\frac{2\sqrt{5}}{\sqrt{15}}$

This is simplified as follows:

$\begin{gathered} \frac{2\sqrt{5}}{\sqrt{15}}\times\frac{\sqrt{15}}{\sqrt{15}} \\ =\frac{2\sqrt{75}}{15} \\ =\frac{10\sqrt{3}}{15} \\ =\frac{2\sqrt{3}}{3} \end{gathered}$

Therefore the required answer is:

$\frac{2\sqrt{3}}{3}$