Bentuk sederhana dari 553−35\frac{5}{5\sqrt{3}-3\sqrt{5}}53−355 adalah...
53+56\frac{5\sqrt{3}+\sqrt{5}}{6}653+5
3+356\frac{\sqrt{3}+3\sqrt{5}}{6}63+35
53+356\frac{5\sqrt{3}+3\sqrt{5}}{6}653+35
53+355\frac{5\sqrt{3}+3\sqrt{5}}{5}553+35
Alternatif penyelesaiannya:
553−35×53+3553+35=5(53+35)75−45\frac{5}{5\sqrt{3}-3\sqrt{5}}\times\frac{5\sqrt{3}+3\sqrt{5}}{5\sqrt{3}+3\sqrt{5}}=\frac{5\left(5\sqrt{3}+3\sqrt{5}\right)}{75-45}53−355×53+3553+35=75−455(53+35)
=5(53+35)30=\frac{5\left(5\sqrt{3}+3\sqrt{5}\right)}{30}=305(53+35)
=(53+35)6=\frac{\left(5\sqrt{3}+3\sqrt{5}\right)}{6}=6(53+35)