$$\frac{ 3 }{ \sqrt{ 11 } + \sqrt{ 5 } }$$
$\frac{\sqrt{11}-\sqrt{5}}{2}\approx 0.540278406$
$$\frac{3\left(\sqrt{11}-\sqrt{5}\right)}{\left(\sqrt{11}+\sqrt{5}\right)\left(\sqrt{11}-\sqrt{5}\right)}$$
$$\frac{3\left(\sqrt{11}-\sqrt{5}\right)}{\left(\sqrt{11}\right)^{2}-\left(\sqrt{5}\right)^{2}}$$
$$\frac{3\left(\sqrt{11}-\sqrt{5}\right)}{11-5}$$
$$\frac{3\left(\sqrt{11}-\sqrt{5}\right)}{6}$$
$$\frac{1}{2}\left(\sqrt{11}-\sqrt{5}\right)$$
$$\frac{1}{2}\sqrt{11}+\frac{1}{2}\left(-1\right)\sqrt{5}$$
$$\frac{1}{2}\sqrt{11}-\frac{1}{2}\sqrt{5}$$
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