\(\left(\dfrac{2\sqrt{3}-\sqrt{6}}{\sqrt{8}-2}-\dfrac{\sqrt{216}}{3}\right).\dfrac{1}{\sqrt{6}}\\ =\left(\dfrac{\sqrt{3}\left(2-\sqrt{2}\right)}{\sqrt{2}\left(2-\sqrt{2}\right)}-\dfrac{6\sqrt{6}}{3}\right).\dfrac{1}{\sqrt{6}}\\ =\left(\dfrac{\sqrt{3}}{\sqrt{2}}-2\sqrt{6}\right).\dfrac{1}{\sqrt{6}}\\ =\left(\dfrac{\sqrt{6}}{2}-2\sqrt{6}\right).\dfrac{1}{\sqrt{6}}\\ =\left(-\dfrac{3}{2}\right)\sqrt{6}.\dfrac{1}{\sqrt{6}}=-\dfrac{3}{2}=-1,5\)
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