Question

square root of 5 is divided by root 2 + root 3 + 2 root 3

Answer 1

Dear Student,

$$\begin{gathered} \frac{\sqrt{5}}{\sqrt{2}+\sqrt{3}+2\sqrt{3}} \\ =\frac{\sqrt{5}}{\sqrt{2}+3\sqrt{3}} \\ =\frac{\sqrt{5}}{\sqrt{2}+3\sqrt{3}}\times \frac{\sqrt{2}-3\sqrt{3}}{\sqrt{2}-3\sqrt{3}} \\ =\frac{\sqrt{10}-3\sqrt{15}}{2-27} \\ =\frac{\sqrt{10}-3\sqrt{15}}{-25} \\ =\frac{3\sqrt{15}-\sqrt{10}}{25} \end{gathered}$$
Regards,