$$(2\sqrt{3}+3\sqrt{2})^{2}-3\sqrt{6}$$
$9\sqrt{6}+30\approx 52.045407685$
$$4\left(\sqrt{3}\right)^{2}+12\sqrt{3}\sqrt{2}+9\left(\sqrt{2}\right)^{2}-3\sqrt{6}$$
$$4\times 3+12\sqrt{3}\sqrt{2}+9\left(\sqrt{2}\right)^{2}-3\sqrt{6}$$
$$12+12\sqrt{3}\sqrt{2}+9\left(\sqrt{2}\right)^{2}-3\sqrt{6}$$
$$12+12\sqrt{6}+9\left(\sqrt{2}\right)^{2}-3\sqrt{6}$$
$$12+12\sqrt{6}+9\times 2-3\sqrt{6}$$
$$12+12\sqrt{6}+18-3\sqrt{6}$$
$$30+12\sqrt{6}-3\sqrt{6}$$
$$30+9\sqrt{6}$$
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