$$(\sqrt{2}+\sqrt{3})(\sqrt{5}+\sqrt{3})$$
$\sqrt{6}+\sqrt{10}+\sqrt{15}+3\approx 12.484750749$
$$\sqrt{2}\sqrt{5}+\sqrt{2}\sqrt{3}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}$$
$$\sqrt{10}+\sqrt{2}\sqrt{3}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}$$
$$\sqrt{10}+\sqrt{6}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}$$
$$\sqrt{10}+\sqrt{6}+\sqrt{15}+\left(\sqrt{3}\right)^{2}$$
$$\sqrt{10}+\sqrt{6}+\sqrt{15}+3$$
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