$$2 \sqrt{ 2 } +5 \sqrt{ 3 } + \sqrt{ 2 } -3 \sqrt{ 3 }$$
$2\sqrt{3}+3\sqrt{2}\approx 7.706742302$
$$3\sqrt{2}+5\sqrt{3}-3\sqrt{3}$$
$$3\sqrt{2}+2\sqrt{3}$$
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