$$\frac{ 5 }{ \sqrt{ 5 } - \sqrt{ 3 } } - \frac{ 3 }{ \sqrt{ 5+ \sqrt{ 3 } } }$$
$\frac{2\sqrt{11}\sqrt{5\sqrt{15}+20-3\sqrt{5}-4\sqrt{3}}\left(5\sqrt{\sqrt{3}+5}+3\sqrt{3}-3\sqrt{5}\right)}{44}\approx 8.764058101$
