$$\frac{ 5 }{ 3 } \sqrt{ \frac{ 3 }{ 5 } } - \frac{ 1 }{ 2 } \sqrt{ \frac{ 8 }{ 4 } } -5 \sqrt{ \frac{ 1 }{ 15 } } +3 \sqrt{ \frac{ 1 }{ 12 } }$$
$\frac{\sqrt{3}-\sqrt{2}}{2}\approx 0.158918623$
$\frac{\sqrt{3} - \sqrt{2}}{2} = 0.15891862259789102$