$$(5\sqrt{3}-2\sqrt{2})\times(3\sqrt{2}+\sqrt{2}$$
$20\sqrt{6}-16\approx 32.989794856$
$$\left(5\sqrt{3}-2\sqrt{2}\right)\times 4\sqrt{2}$$
$$\left(20\sqrt{3}-8\sqrt{2}\right)\sqrt{2}$$
$$20\sqrt{3}\sqrt{2}-8\left(\sqrt{2}\right)^{2}$$
$$20\sqrt{6}-8\left(\sqrt{2}\right)^{2}$$
$$20\sqrt{6}-8\times 2$$
$$20\sqrt{6}-16$$
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$4 {(5 \sqrt{6} - 4)} = 32.989794856$
