$$\frac{5}{\sqrt{7}-\sqrt{6}}$$
$5\left(\sqrt{6}+\sqrt{7}\right)\approx 25.476205269$
$$\frac{5\left(\sqrt{7}+\sqrt{6}\right)}{\left(\sqrt{7}-\sqrt{6}\right)\left(\sqrt{7}+\sqrt{6}\right)}$$
$$\frac{5\left(\sqrt{7}+\sqrt{6}\right)}{\left(\sqrt{7}\right)^{2}-\left(\sqrt{6}\right)^{2}}$$
$$\frac{5\left(\sqrt{7}+\sqrt{6}\right)}{7-6}$$
$$\frac{5\left(\sqrt{7}+\sqrt{6}\right)}{1}$$
$$5\left(\sqrt{7}+\sqrt{6}\right)$$
$$5\sqrt{7}+5\sqrt{6}$$
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