Question

WHAT IS THE SIMPLIFIED FORM OF THE EXPRESSION (17 ROOT 15 - 3 ROOT 10) DIVIDED BY ROOT 5

Answer 1

$$\begin{gathered} \frac{17\sqrt{15}-3\sqrt{10}}{\sqrt{5}} \\ =\frac{17\sqrt{15}-3\sqrt{10}}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}} \\ =\frac{17\sqrt{75}-3\sqrt{50}}{5} \\ =\frac{85\sqrt{3}-15\sqrt{2}}{5} \\ =17\sqrt{3}-3\sqrt{2} \end{gathered}$$