$$\frac{ 1 }{ \sqrt{ 5 } + \sqrt{ 6 } }$$
$\sqrt{6}-\sqrt{5}\approx 0.213421765$
$$\frac{\sqrt{5}-\sqrt{6}}{\left(\sqrt{5}+\sqrt{6}\right)\left(\sqrt{5}-\sqrt{6}\right)}$$
$$\frac{\sqrt{5}-\sqrt{6}}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{6}\right)^{2}}$$
$$\frac{\sqrt{5}-\sqrt{6}}{5-6}$$
$$\frac{\sqrt{5}-\sqrt{6}}{-1}$$
$$-\sqrt{5}-\left(-\sqrt{6}\right)$$
$$-\sqrt{5}+\sqrt{6}$$
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