$$( \sqrt { 5 } + \sqrt { 2 } ) ^ { 2 }$$
$2\sqrt{10}+7\approx 13.32455532$
$$\left(\sqrt{5}\right)^{2}+2\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$
$$5+2\sqrt{5}\sqrt{2}+\left(\sqrt{2}\right)^{2}$$
$$5+2\sqrt{10}+\left(\sqrt{2}\right)^{2}$$
$$5+2\sqrt{10}+2$$
$$7+2\sqrt{10}$$
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$2 \sqrt{10} + 7 = 13.32455532$