Bentuk sederhana dari [tex]\frac{\sqrt{5}+2\sqrt{3}}{\sqrt{5}-3\sqrt{3}}[/tex] = ...

[tex]\displaystyle \frac{\sqrt{5}+2\sqrt{3}}{\sqrt{5}-3\sqrt{3}} = \frac{\sqrt{5}+2\sqrt{3}}{\sqrt{5}-3\sqrt{3}} \times \frac{\sqrt{5}+3\sqrt{3}}{\sqrt{5}+3\sqrt{3}} \\ \\ \frac{5+3\sqrt{15}+2\sqrt{15}+6\18}{5-(3^2\times 3)} = \frac{73+5\sqrt{15}}{5-27} = \frac{73+5\sqrt{15}}{-22} \\ \\ -\frac{1}{22}(73+5\sqrt{15})[/tex]