$$( 5 + \sqrt { 3 } ) ( 3 + \sqrt { 2 } )$$
$\sqrt{6}+3\sqrt{3}+5\sqrt{2}+15\approx 29.716709977$
$$15+5\sqrt{2}+3\sqrt{3}+\sqrt{3}\sqrt{2}$$
$$15+5\sqrt{2}+3\sqrt{3}+\sqrt{6}$$
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