Question

Câu 1: Thực hiện phép tính:

a. \(\sqrt{3}\left(2\sqrt{6}-\sqrt{3}\right)-6\sqrt{2}\)

b. \(6\sqrt{12}-\sqrt{20}-2\sqrt{27}+\sqrt{125}\)

c. \(\sqrt{\left(1-\sqrt{3}\right)^2}-3\sqrt{\dfrac{1}{3}}\)

d. \(\dfrac{6}{\sqrt{6}}-\dfrac{5}{\sqrt{6}-1}\)

Answer 1

\(a,=6\sqrt{2}-3-6\sqrt{2}=-3\\ b,=12\sqrt{3}-2\sqrt{5}-6\sqrt{3}+5\sqrt{5}=6\sqrt{3}+3\sqrt{5}\\ c,=\sqrt{3}-1-\sqrt{3}=-1\\ d,=\sqrt{6}-\dfrac{5\left(\sqrt{6}+1\right)}{5}=\sqrt{6}-\sqrt{6}-1=-1\)