Question

Rationalise the following:
3-√5/3+2√5​

Answer 1

$\huge\fcolorbox{black}{lime}{Solution}$

$\dfrac{3-2\sqrt{5}}{3+2\sqrt{5}} ×\dfrac{3+2\sqrt{5}}{3+2\sqrt{5}} \\ \dfrac{(3+2\sqrt{5})^2}{(3)^2-(2\sqrt{5})^2} \\ \dfrac{9+20+12\sqrt{5}}{9-20} \\ \dfrac{29+12\sqrt{5}}{-11} \\ \dfrac{-29+12\sqrt{5}}{11}$