$$2 - \sqrt { 3 } - \frac { 1 } { 2 - \sqrt { 3 } }$$
$-2\sqrt{3}\approx -3.464101615$
$$2-\sqrt{3}-\frac{2+\sqrt{3}}{\left(2-\sqrt{3}\right)\left(2+\sqrt{3}\right)}$$
$$2-\sqrt{3}-\frac{2+\sqrt{3}}{2^{2}-\left(\sqrt{3}\right)^{2}}$$
$$2-\sqrt{3}-\frac{2+\sqrt{3}}{4-3}$$
$$2-\sqrt{3}-\frac{2+\sqrt{3}}{1}$$
$$2-\sqrt{3}-\left(2+\sqrt{3}\right)$$
$$2-\sqrt{3}-2-\sqrt{3}$$
$$-\sqrt{3}-\sqrt{3}$$
$$-2\sqrt{3}$$
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