$$\frac{\sqrt{5}-3\sqrt{5}}{2\sqrt{5}-\sqrt{3}}$$
$\frac{-2\sqrt{15}-20}{17}\approx -1.632115688$
$$\frac{-2\sqrt{5}}{2\sqrt{5}-\sqrt{3}}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{\left(2\sqrt{5}-\sqrt{3}\right)\left(2\sqrt{5}+\sqrt{3}\right)}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{\left(2\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{2^{2}\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{4\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{4\times 5-\left(\sqrt{3}\right)^{2}}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{20-\left(\sqrt{3}\right)^{2}}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{20-3}$$
$$\frac{-2\sqrt{5}\left(2\sqrt{5}+\sqrt{3}\right)}{17}$$
$$\frac{-4\left(\sqrt{5}\right)^{2}-2\sqrt{5}\sqrt{3}}{17}$$
$$\frac{-4\times 5-2\sqrt{5}\sqrt{3}}{17}$$
$$\frac{-20-2\sqrt{5}\sqrt{3}}{17}$$
$$\frac{-20-2\sqrt{15}}{17}$$
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$\frac{2 {(-\sqrt{15} - 10)}}{17} = -1.6321156877891079$
