$$\frac{5\sqrt{2}+10\sqrt{3}}{6}$$
$\frac{5\sqrt{2}\left(\sqrt{6}+1\right)}{6}\approx 4.065262648$
$\frac{5 \sqrt{2} {(\sqrt{2} \sqrt{3} + 1)}}{6} = 4.065262647925708$
