$$\frac{4\sqrt{3}}{2-\sqrt{2}}$$
$2\left(\sqrt{6}+2\sqrt{3}\right)\approx 11.827182716$
$$\frac{4\sqrt{3}\left(2+\sqrt{2}\right)}{\left(2-\sqrt{2}\right)\left(2+\sqrt{2}\right)}$$
$$\frac{4\sqrt{3}\left(2+\sqrt{2}\right)}{2^{2}-\left(\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{3}\left(2+\sqrt{2}\right)}{4-2}$$
$$\frac{4\sqrt{3}\left(2+\sqrt{2}\right)}{2}$$
$$\frac{8\sqrt{3}+4\sqrt{3}\sqrt{2}}{2}$$
$$\frac{8\sqrt{3}+4\sqrt{6}}{2}$$
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