\(\frac{\sqrt{\left(\sqrt{5}\right)^2-2.\sqrt{5}.\sqrt{3}+\left(\sqrt{3}\right)^2}}{\sqrt{10}-\sqrt{6}}\)
\(\Leftrightarrow\frac{\sqrt{\left(\sqrt{5}-\sqrt{3}\right)^2}}{\sqrt{10}-\sqrt{6}}=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{2}\left(\sqrt{5}-\sqrt{3}\right)}\)
\(\Leftrightarrow\frac{1}{\sqrt{2}}\)