$$\frac{3}{\sqrt{2}+\sqrt{3}}$$
$3\sqrt{3}-3\sqrt{2}\approx 0.953511736$
$$\frac{3\left(\sqrt{2}-\sqrt{3}\right)}{\left(\sqrt{2}+\sqrt{3}\right)\left(\sqrt{2}-\sqrt{3}\right)}$$
$$\frac{3\left(\sqrt{2}-\sqrt{3}\right)}{\left(\sqrt{2}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{3\left(\sqrt{2}-\sqrt{3}\right)}{2-3}$$
$$\frac{3\left(\sqrt{2}-\sqrt{3}\right)}{-1}$$
$$-3\left(\sqrt{2}-\sqrt{3}\right)$$
$$-3\sqrt{2}+3\sqrt{3}$$
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