$$\frac{ 5 }{ \sqrt{ 7 } - \sqrt{ 5 } }$$
$\frac{5\left(\sqrt{5}+\sqrt{7}\right)}{2}\approx 12.204548221$
$$\frac{5\left(\sqrt{7}+\sqrt{5}\right)}{\left(\sqrt{7}-\sqrt{5}\right)\left(\sqrt{7}+\sqrt{5}\right)}$$
$$\frac{5\left(\sqrt{7}+\sqrt{5}\right)}{\left(\sqrt{7}\right)^{2}-\left(\sqrt{5}\right)^{2}}$$
$$\frac{5\left(\sqrt{7}+\sqrt{5}\right)}{7-5}$$
$$\frac{5\left(\sqrt{7}+\sqrt{5}\right)}{2}$$
$$\frac{5\sqrt{7}+5\sqrt{5}}{2}$$
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