\(\sqrt{12}+\sqrt{27}-\sqrt{108}-\dfrac{1}{4}\sqrt{192}\)
\(=\sqrt{2^2.3}+\sqrt{3^2.3}-\sqrt{6^2.3}-\dfrac{1}{4}\sqrt{8^2.3}\)
\(=2\sqrt{3}+3\sqrt{3}-6\sqrt{3}-\dfrac{1}{4}.8\sqrt{3}=-3\sqrt{3}\)
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