$$\frac{2}{\sqrt{3}+\sqrt{2}}$$
$2\left(\sqrt{3}-\sqrt{2}\right)\approx 0.63567449$
$$\frac{2\left(\sqrt{3}-\sqrt{2}\right)}{\left(\sqrt{3}+\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)}$$
$$\frac{2\left(\sqrt{3}-\sqrt{2}\right)}{\left(\sqrt{3}\right)^{2}-\left(\sqrt{2}\right)^{2}}$$
$$\frac{2\left(\sqrt{3}-\sqrt{2}\right)}{3-2}$$
$$\frac{2\left(\sqrt{3}-\sqrt{2}\right)}{1}$$
$$2\left(\sqrt{3}-\sqrt{2}\right)$$
$$2\sqrt{3}-2\sqrt{2}$$
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