$$\left. \begin{array} { l } { \frac { 13 } { 4 + \sqrt { 3 } } } \end{array} \right.$$
$4-\sqrt{3}\approx 2.267949192$
$$\frac{13\left(4-\sqrt{3}\right)}{\left(4+\sqrt{3}\right)\left(4-\sqrt{3}\right)}$$
$$\frac{13\left(4-\sqrt{3}\right)}{4^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{13\left(4-\sqrt{3}\right)}{16-3}$$
$$\frac{13\left(4-\sqrt{3}\right)}{13}$$
$$4-\sqrt{3}$$
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