$$(3+ \sqrt{ 3 } )(5- \sqrt{ 2 } )$$
$5\sqrt{3}+15-\sqrt{6}-3\sqrt{2}\approx 16.968123608$
$$15-3\sqrt{2}+5\sqrt{3}-\sqrt{3}\sqrt{2}$$
$$15-3\sqrt{2}+5\sqrt{3}-\sqrt{6}$$
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$5 \sqrt{3} + 15 - \sqrt{6} - 3 \sqrt{2} = 16.968123608$
