Question

 

thực hiện phép tính :

\(\left[2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\frac{1}{4}\sqrt{8}\right]3\sqrt{6}\)

Answer 1

\(=\left[\sqrt{2.2.6}-\sqrt{4.4.3}+\sqrt{5.5.2}-\sqrt{\left(\frac{1}{4}\right)^2.8}\right].\sqrt{54}\)

\(=\left[\sqrt{24}-\sqrt{48}+\sqrt{50}-\sqrt{\frac{1}{2}}\right].\sqrt{54}\)

\(=\sqrt{24.54}-\sqrt{48.54}+\sqrt{50.54}-\sqrt{\frac{1}{2}.54}\)

\(=\sqrt{1296}-\sqrt{2592}+\sqrt{2700}-\sqrt{27}\)

\(=36-\sqrt{1296.2}+10\sqrt{27}-\sqrt{27}\)

\(=36-36\sqrt{2}+9\sqrt{27}\)

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