$$\frac{1}{\sqrt{3}-\sqrt{2}}=$$
$\sqrt{2}+\sqrt{3}\approx 3.14626437$
$$\frac{\sqrt{3}+\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)}$$
$$\frac{\sqrt{3}+\sqrt{2}}{\left(\sqrt{3}\right)^{2}-\left(\sqrt{2}\right)^{2}}$$
$$\frac{\sqrt{3}+\sqrt{2}}{3-2}$$
$$\frac{\sqrt{3}+\sqrt{2}}{1}$$
$$\sqrt{3}+\sqrt{2}$$
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