Question

Подробное решение плииииз

Answer 1

$\displaystyle\bf\\\frac{5-\sqrt{5} }{\sqrt{10} -\sqrt{2} } =\frac{(\sqrt{5} )^{2} -\sqrt{5} }{\sqrt{2\cdot 5} -\sqrt{2} } =\frac{\sqrt{5}\cdot(\sqrt{5}-1) }{\sqrt{2}\cdot \sqrt{5} -\sqrt{2}} =\frac{\sqrt{5} \cdot(\sqrt{5} -1)}{\sqrt{2} \cdot(\sqrt{5} -1)} =\\\\\\=\boxed{\frac{\sqrt{5} }{\sqrt{2} } }$