$$\frac{2}{3(\sqrt{3}+2)}$$
$\frac{4-2\sqrt{3}}{3}\approx 0.178632795$
$$\frac{2}{3\sqrt{3}+6}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{\left(3\sqrt{3}+6\right)\left(3\sqrt{3}-6\right)}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{\left(3\sqrt{3}\right)^{2}-6^{2}}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{3^{2}\left(\sqrt{3}\right)^{2}-6^{2}}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{9\left(\sqrt{3}\right)^{2}-6^{2}}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{9\times 3-6^{2}}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{27-6^{2}}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{27-36}$$
$$\frac{2\left(3\sqrt{3}-6\right)}{-9}$$
$$\frac{6\sqrt{3}-12}{-9}$$
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