$$(\sqrt{5}+\sqrt{3})^{2}$$
$2\left(\sqrt{15}+4\right)\approx 15.745966692$
$$\left(\sqrt{5}\right)^{2}+2\sqrt{5}\sqrt{3}+\left(\sqrt{3}\right)^{2}$$
$$5+2\sqrt{5}\sqrt{3}+\left(\sqrt{3}\right)^{2}$$
$$5+2\sqrt{15}+\left(\sqrt{3}\right)^{2}$$
$$5+2\sqrt{15}+3$$
$$8+2\sqrt{15}$$
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$2 \sqrt{15} + 8 = 15.745966692$
