$$\frac{3\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$$
$2\sqrt{15}+9\approx 16.745966692$
$$\frac{\left(3\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)}{\left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)}$$
$$\frac{\left(3\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{\left(3\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)}{5-3}$$
$$\frac{\left(3\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)}{2}$$
$$\frac{3\left(\sqrt{5}\right)^{2}+3\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}}{2}$$
$$\frac{3\times 5+3\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}}{2}$$
$$\frac{15+3\sqrt{5}\sqrt{3}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}}{2}$$
$$\frac{15+3\sqrt{15}+\sqrt{3}\sqrt{5}+\left(\sqrt{3}\right)^{2}}{2}$$
$$\frac{15+3\sqrt{15}+\sqrt{15}+\left(\sqrt{3}\right)^{2}}{2}$$
$$\frac{15+4\sqrt{15}+\left(\sqrt{3}\right)^{2}}{2}$$
$$\frac{15+4\sqrt{15}+3}{2}$$
$$\frac{18+4\sqrt{15}}{2}$$
$$9+2\sqrt{15}$$
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$2 \sqrt{15} + 9 = 16.745966692$
