$$( 2 \sqrt { 3 } - 5 \sqrt { 2 } ) ^ { 2 }$$
$62-20\sqrt{6}\approx 13.010205144$
$$4\left(\sqrt{3}\right)^{2}-20\sqrt{3}\sqrt{2}+25\left(\sqrt{2}\right)^{2}$$
$$4\times 3-20\sqrt{3}\sqrt{2}+25\left(\sqrt{2}\right)^{2}$$
$$12-20\sqrt{3}\sqrt{2}+25\left(\sqrt{2}\right)^{2}$$
$$12-20\sqrt{6}+25\left(\sqrt{2}\right)^{2}$$
$$12-20\sqrt{6}+25\times 2$$
$$12-20\sqrt{6}+50$$
$$62-20\sqrt{6}$$
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$62-20\sqrt{6}$