\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}\right).3\sqrt{6}\\ =2\sqrt{6}.3\sqrt{6}-4\sqrt{3}.3\sqrt{6}+5\sqrt{2}.3\sqrt{6}\\ =2.3.6-4.3.\sqrt{18}+5.3.\sqrt{12}\\ =36-12.\sqrt{3^2.2}+15.\sqrt{2^2.3}\\ =36-12.3.\sqrt{2}+15.2.\sqrt{3}\\ =36-36\sqrt{2}+30\sqrt{3}\)


