$$\frac{3\sqrt{2}}{\sqrt{5}-\sqrt{7}}$$
$\frac{-3\sqrt{10}-3\sqrt{14}}{2}\approx -10.35590257$
$$\frac{3\sqrt{2}\left(\sqrt{5}+\sqrt{7}\right)}{\left(\sqrt{5}-\sqrt{7}\right)\left(\sqrt{5}+\sqrt{7}\right)}$$
$$\frac{3\sqrt{2}\left(\sqrt{5}+\sqrt{7}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{7}\right)^{2}}$$
$$\frac{3\sqrt{2}\left(\sqrt{5}+\sqrt{7}\right)}{5-7}$$
$$\frac{3\sqrt{2}\left(\sqrt{5}+\sqrt{7}\right)}{-2}$$
$$\frac{3\sqrt{2}\sqrt{5}+3\sqrt{2}\sqrt{7}}{-2}$$
$$\frac{3\sqrt{10}+3\sqrt{2}\sqrt{7}}{-2}$$
$$\frac{3\sqrt{10}+3\sqrt{14}}{-2}$$
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