$$\frac{7}{\sqrt{13}-\sqrt{3}}$$
$\frac{7\left(\sqrt{3}+\sqrt{13}\right)}{10}\approx 3.736321458$
$$\frac{7\left(\sqrt{13}+\sqrt{3}\right)}{\left(\sqrt{13}-\sqrt{3}\right)\left(\sqrt{13}+\sqrt{3}\right)}$$
$$\frac{7\left(\sqrt{13}+\sqrt{3}\right)}{\left(\sqrt{13}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{7\left(\sqrt{13}+\sqrt{3}\right)}{13-3}$$
$$\frac{7\left(\sqrt{13}+\sqrt{3}\right)}{10}$$
$$\frac{7\sqrt{13}+7\sqrt{3}}{10}$$
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