$$\frac { 5 } { \sqrt { 3 } - \sqrt { 5 } }$$
$\frac{-5\sqrt{3}-5\sqrt{5}}{2}\approx -9.920296963$
$$\frac{5\left(\sqrt{3}+\sqrt{5}\right)}{\left(\sqrt{3}-\sqrt{5}\right)\left(\sqrt{3}+\sqrt{5}\right)}$$
$$\frac{5\left(\sqrt{3}+\sqrt{5}\right)}{\left(\sqrt{3}\right)^{2}-\left(\sqrt{5}\right)^{2}}$$
$$\frac{5\left(\sqrt{3}+\sqrt{5}\right)}{3-5}$$
$$\frac{5\left(\sqrt{3}+\sqrt{5}\right)}{-2}$$
$$\frac{5\sqrt{3}+5\sqrt{5}}{-2}$$
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