$$\frac{4}{\sqrt{9}+\sqrt{6}}$$
$-\frac{4\sqrt{6}}{3}+4\approx 0.734013676$
$$\frac{4}{3+\sqrt{6}}$$
$$\frac{4\left(3-\sqrt{6}\right)}{\left(3+\sqrt{6}\right)\left(3-\sqrt{6}\right)}$$
$$\frac{4\left(3-\sqrt{6}\right)}{3^{2}-\left(\sqrt{6}\right)^{2}}$$
$$\frac{4\left(3-\sqrt{6}\right)}{9-6}$$
$$\frac{4\left(3-\sqrt{6}\right)}{3}$$
$$\frac{12-4\sqrt{6}}{3}$$
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