$$\frac{5-\sqrt{3}}{5+\sqrt{3}}$$
$\frac{14-5\sqrt{3}}{11}\approx 0.485431451$
$$\frac{\left(5-\sqrt{3}\right)\left(5-\sqrt{3}\right)}{\left(5+\sqrt{3}\right)\left(5-\sqrt{3}\right)}$$
$$\frac{\left(5-\sqrt{3}\right)\left(5-\sqrt{3}\right)}{5^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{\left(5-\sqrt{3}\right)\left(5-\sqrt{3}\right)}{25-3}$$
$$\frac{\left(5-\sqrt{3}\right)\left(5-\sqrt{3}\right)}{22}$$
$$\frac{\left(5-\sqrt{3}\right)^{2}}{22}$$
$$\frac{25-10\sqrt{3}+\left(\sqrt{3}\right)^{2}}{22}$$
$$\frac{25-10\sqrt{3}+3}{22}$$
$$\frac{28-10\sqrt{3}}{22}$$
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