$$\frac{2\sqrt{3+3}\sqrt{2}}{\sqrt{6}}$$
$2\sqrt{2}\approx 2.828427125$
$$\frac{2\sqrt{6}\sqrt{2}}{\sqrt{6}}$$
$$\frac{2\sqrt{2}\sqrt{3}\sqrt{2}}{\sqrt{6}}$$
$$\frac{2\times 2\sqrt{3}}{\sqrt{6}}$$
$$\frac{2\times 2\sqrt{3}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$
$$\frac{2\times 2\sqrt{3}\sqrt{6}}{6}$$
$$\frac{4\sqrt{3}\sqrt{6}}{6}$$
$$\frac{4\sqrt{3}\sqrt{3}\sqrt{2}}{6}$$
$$\frac{4\times 3\sqrt{2}}{6}$$
$$\frac{12\sqrt{2}}{6}$$
$$2\sqrt{2}$$
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