$$\frac{3+\sqrt{5}}{2-\sqrt{5}}$$
$-5\sqrt{5}-11\approx -22.180339887$
$$\frac{\left(3+\sqrt{5}\right)\left(2+\sqrt{5}\right)}{\left(2-\sqrt{5}\right)\left(2+\sqrt{5}\right)}$$
$$\frac{\left(3+\sqrt{5}\right)\left(2+\sqrt{5}\right)}{2^{2}-\left(\sqrt{5}\right)^{2}}$$
$$\frac{\left(3+\sqrt{5}\right)\left(2+\sqrt{5}\right)}{4-5}$$
$$\frac{\left(3+\sqrt{5}\right)\left(2+\sqrt{5}\right)}{-1}$$
$$-\left(3+\sqrt{5}\right)\left(2+\sqrt{5}\right)$$
$$-\left(6+3\sqrt{5}+2\sqrt{5}+\left(\sqrt{5}\right)^{2}\right)$$
$$-\left(6+5\sqrt{5}+\left(\sqrt{5}\right)^{2}\right)$$
$$-\left(6+5\sqrt{5}+5\right)$$
$$-\left(11+5\sqrt{5}\right)$$
$$-11-5\sqrt{5}$$
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