$$(2+\sqrt{3})(3+\sqrt{5})$$
$\sqrt{15}+2\sqrt{5}+3\sqrt{3}+6\approx 19.541271724$
$$6+2\sqrt{5}+3\sqrt{3}+\sqrt{3}\sqrt{5}$$
$$6+2\sqrt{5}+3\sqrt{3}+\sqrt{15}$$
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