$$2 \sqrt{ 2+ { \left(2 \sqrt{ 2 } \right) }^{ 2 } }$$
$2\sqrt{10}\approx 6.32455532$
$$2\sqrt{2+2^{2}\left(\sqrt{2}\right)^{2}}$$
$$2\sqrt{2+4\left(\sqrt{2}\right)^{2}}$$
$$2\sqrt{2+4\times 2}$$
$$2\sqrt{2+8}$$
$$2\sqrt{10}$$
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