\(Q=\left(\dfrac{\sqrt{6}-\sqrt{3}}{\sqrt{2}-1}+\dfrac{5-\sqrt{5}}{\sqrt{5}-1}\right):\dfrac{2}{\sqrt{5}-\sqrt{3}}\)
\(Q=\left(\dfrac{\sqrt{3}\left(\sqrt{2}-1\right)}{\sqrt{2}-1}+\dfrac{\sqrt{5}\left(\sqrt{5}-1\right)}{\sqrt{5}-1}\right)\cdot\dfrac{\sqrt{5}-\sqrt{3}}{2}\)
\(Q=\left(\dfrac{\sqrt{3}}{1}+\dfrac{\sqrt{5}}{1}\right)\cdot\dfrac{\sqrt{5}-\sqrt{3}}{2}\)
\(Q=\left(\sqrt{5}+\sqrt{3}\right)\cdot\dfrac{\sqrt{5}-\sqrt{3}}{2}\)
\(Q=\dfrac{\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}-\sqrt{3}\right)}{2}\)
\(Q=\dfrac{\left[\left(\sqrt{5}\right)^2-\left(\sqrt{3}\right)^2\right]}{2}\)
\(Q=\dfrac{5-3}{2}\)
\(Q=\dfrac{2}{2}\)
\(Q=1\)
