$$\frac { 2 \tan 30 ^ { \circ } } { 1 - \tan ^ { 2 } 30 ^ { \circ } } =$$
$\sqrt{3}\approx 1.732050808$
$$\frac{2\times \frac{\sqrt{3}}{3}}{1-\left(\tan(30)\right)^{2}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{1-\left(\tan(30)\right)^{2}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{1-\left(\frac{\sqrt{3}}{3}\right)^{2}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{1-\frac{\left(\sqrt{3}\right)^{2}}{3^{2}}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{1-\frac{3}{3^{2}}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{1-\frac{3}{9}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{1-\frac{1}{3}}$$
$$\frac{\frac{2\sqrt{3}}{3}}{\frac{2}{3}}$$
$$\frac{2\sqrt{3}\times 3}{3\times 2}$$
$$\sqrt{3}$$
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