$$2\sqrt{6}(3\sqrt{2}-2\sqrt{3})$$
$12\left(\sqrt{3}-\sqrt{2}\right)\approx 3.814046942$
$$6\sqrt{6}\sqrt{2}-4\sqrt{3}\sqrt{6}$$
$$6\sqrt{2}\sqrt{3}\sqrt{2}-4\sqrt{3}\sqrt{6}$$
$$6\times 2\sqrt{3}-4\sqrt{3}\sqrt{6}$$
$$12\sqrt{3}-4\sqrt{3}\sqrt{6}$$
$$12\sqrt{3}-4\sqrt{3}\sqrt{3}\sqrt{2}$$
$$12\sqrt{3}-4\times 3\sqrt{2}$$
$$12\sqrt{3}-12\sqrt{2}$$
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$12 {(\sqrt{3} - \sqrt{2})} = 3.814046942$
