$$\sqrt{6}+4\sqrt{5}-8\sqrt{2}+3\sqrt{2}-2\sqrt{6}+3\sqrt{5}$$
$7\sqrt{5}-\sqrt{6}-5\sqrt{2}\approx 6.131918288$
$$\sqrt{6}+4\sqrt{5}-5\sqrt{2}-2\sqrt{6}+3\sqrt{5}$$
$$-\sqrt{6}+4\sqrt{5}-5\sqrt{2}+3\sqrt{5}$$
$$-\sqrt{6}+7\sqrt{5}-5\sqrt{2}$$
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