Question

Упростить выражение (1-√2)/(√3-√6)

Answer 1

$\frac{1- \sqrt{2} }{ \sqrt{3}- \sqrt{6} }=\frac{(1- \sqrt{2}) (\sqrt{3}+ \sqrt{6})}{ (\sqrt{3}- \sqrt{6}) (\sqrt{3}+ \sqrt{6}) } =\frac{\sqrt{3}+ \sqrt{6} - \sqrt{6}- \sqrt{12} }{ (3- 6) }=\frac{\sqrt{3}- \sqrt{12} }{ -3 }=\frac{\sqrt{12}-\sqrt{3} }{ 3 }$