Question

Упростить выражение
2.3

Answer 1

$\frac{5}{\sqrt{6}-1 }-\frac{5}{\sqrt{6} +1}=\frac{5\sqrt{6}+5-5\sqrt{6}+5}{(\sqrt{6}-1)(\sqrt{6} +1)}=\frac{10}{(\sqrt{6})^{2}-1^{2}} =\frac{10}{6-1}=\frac{10}{5}=2$