$$5 \sqrt{ 3 } /2 \sqrt{ 3 } - \sqrt{ 2 }$$
$\frac{15}{2}-\sqrt{2}\approx 6.085786438$
$$\frac{5\sqrt{3}\sqrt{3}}{2}-\sqrt{2}$$
$$\frac{5\sqrt{3}\sqrt{3}}{2}-\frac{2\sqrt{2}}{2}$$
$$\frac{5\sqrt{3}\sqrt{3}-2\sqrt{2}}{2}$$
$$\frac{15-2\sqrt{2}}{2}$$
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$\frac{15 - 2 \sqrt{2}}{2} = 6.085786437626905$
