\(\dfrac{\sqrt{36-12\sqrt{5}}}{\sqrt{6}}=\sqrt{\dfrac{36-12\sqrt{5}}{6}}=\sqrt{6-2\sqrt{5}}=\sqrt{\left(\sqrt{5}\right)^2-2.\sqrt{5}.1+1^2}\)
\(=\sqrt{\left(\sqrt{5}-1\right)^2}=\left|\sqrt{5}-1\right|=\sqrt{5}-1\)
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