1. Rút gọn biểu thức:
\(D=\frac{1}{2}\sqrt{48}-2\sqrt{75}-\frac{\sqrt{33}}{\sqrt{11}}+5\sqrt{1\frac{1}{3}}\)
2. Thực hiện phép tính rồi rút gọn:
\(A=\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right).\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)
\(B=1-\left(\sqrt{45}-\sqrt{20}-\sqrt{3}\right).\left(\sqrt{20}-\sqrt{45}-\sqrt{3}\right)\)
1.\(D=\frac{1}{2}\sqrt{48}-2\sqrt{75}-\frac{\sqrt{33}}{\sqrt{11}}+5\sqrt{1\frac{1}{3}}\)\(=2\sqrt{3}-10\sqrt{3}-\sqrt{3}+\frac{10\sqrt{3}}{3}\)\(=\frac{-17\sqrt{3}}{3}\)
2.\(A=27-\left(\sqrt{32}-\sqrt{50}\right)^2=25\)
\(B=1-\left(\left(-\sqrt{3}\right)^2-\left(\sqrt{20}-\sqrt{45}\right)^2\right)\)\(=1-\left(-2\right)=3\)
