Question

Упростите выражение:

Answer 1

$\frac{\sqrt{6}-\sqrt{3}-\sqrt{2}+1}{\sqrt{10}-\sqrt{5}+\sqrt{2}-1}=\frac{(\sqrt{6}-\sqrt{3})-(\sqrt{2}-1)}{(\sqrt{10}-\sqrt{5})+(\sqrt{2}-1)}=\frac{\sqrt{3}(\sqrt{2}-1)-(\sqrt{2}-1)}{\sqrt{5}(\sqrt{2}-1)+(\sqrt{2}-1)} =\frac{(\sqrt{2}-1)(\sqrt{3}-1)}{(\sqrt{2}-1)(\sqrt{5}+1)}=\frac{\sqrt{3}-1 }{\sqrt{5}+1}$