Question

$$\frac{ 5 }{ \sqrt{ 5- \sqrt{ 3 } } } - \frac{ 3 }{ \sqrt{ 5+ \sqrt{ 3 } } }$$

Evaluate

$\frac{5\sqrt{22\sqrt{3}+110}-3\sqrt{110-22\sqrt{3}}}{22}\approx 1.609634912$