\(\left(\dfrac{1}{3-\sqrt{5}}-\dfrac{1}{3+\sqrt{5}}\right):\dfrac{5-\sqrt{5}}{\sqrt{5}-1}=\dfrac{3+\sqrt{5}-3+\sqrt{5}}{4}.\dfrac{\sqrt{5}-1}{\sqrt{5}\left(\sqrt{5}-1\right)}=\dfrac{2\sqrt{5}}{4}.\dfrac{1}{\sqrt{5}}=\dfrac{1}{2}\)
\(\left(\dfrac{1}{3-\sqrt{5}}-\dfrac{1}{3+\sqrt{5}}\right):\dfrac{5-\sqrt{5}}{\sqrt{5}-1}\)
\(=\left(\dfrac{3+\sqrt{5}}{9-5}-\dfrac{3-\sqrt{5}}{9-5}\right).\dfrac{\sqrt{5}-1}{5-\sqrt{5}}\)
\(=\dfrac{3+\sqrt{5}-3+\sqrt{5}}{4}.\dfrac{\sqrt{5}-1}{5-\sqrt{5}}\)
\(=\dfrac{2\sqrt{5}}{4}.\dfrac{\sqrt{5}-1}{5-\sqrt{5}}\)
\(=\dfrac{1}{2}\)
