$$\frac{8}{\sqrt{7}-\sqrt{3}}$$
$2\left(\sqrt{3}+\sqrt{7}\right)\approx 8.755604237$
$$\frac{8\left(\sqrt{7}+\sqrt{3}\right)}{\left(\sqrt{7}-\sqrt{3}\right)\left(\sqrt{7}+\sqrt{3}\right)}$$
$$\frac{8\left(\sqrt{7}+\sqrt{3}\right)}{\left(\sqrt{7}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{8\left(\sqrt{7}+\sqrt{3}\right)}{7-3}$$
$$\frac{8\left(\sqrt{7}+\sqrt{3}\right)}{4}$$
$$2\left(\sqrt{7}+\sqrt{3}\right)$$
$$2\sqrt{7}+2\sqrt{3}$$
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