Question

Tính

\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right).3\sqrt{6}\)

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Answer 1

\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right).3\sqrt{6}\)

\(=2\sqrt{6}.3\sqrt{6}-4\sqrt{3}.3\sqrt{6}+5\sqrt{2}.3\sqrt{6}-\dfrac{1}{4}.2\sqrt{2}.3\sqrt{6}\)

\(=36-36\sqrt{2}+30\sqrt{3}-3\sqrt{3}=36-36\sqrt{2}+27\sqrt{3}\)