Rút gọn
A = \(\frac{\left(2\sqrt{3}+3\sqrt{2}+\sqrt{6}\right)\left(\sqrt{6}+\sqrt{2}+2\right)}{\left(\sqrt{6}+\sqrt{3}+3\right)^2}\)
RÚT GỌN BIỂU THỨC
A= \(\left(2+\dfrac{5-2\sqrt{5}}{2-\sqrt{5}}\right)\)\(\left(2+\dfrac{5+3\sqrt{5}}{3+\sqrt{5}}\right)\)
B= \(\left(\dfrac{15}{\sqrt{6}+1}+\dfrac{4}{\sqrt{6}-2}-\dfrac{12}{3-\sqrt{6}}\right)\)\(\left(\sqrt{6}+11\right)\)
Rút gọn biểu thức
\(\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{3}-2\right)\left(\sqrt{2+\sqrt{3}}\right)\)
Rút gọn: \(\left(\sqrt{2}+1\right)\left(\sqrt{3}+1\right)\left(\sqrt{6+1}\right)\left(5-2\sqrt{2}-\sqrt{3}\right)\)
Rút gọn biểu thức M= \(\frac{\sqrt{6+2\times\left(\sqrt{6}+\sqrt{3}+\sqrt{2}\right)}-\sqrt{6-2\times\left(\sqrt{6}+\sqrt{3}+\sqrt{2}\right)}}{\sqrt{2}}\)
Rút gọn \(A=2\sqrt{3}.\left(\sqrt{2}-\sqrt{3}\right)+\left(\sqrt{2}-\sqrt{3}\right)+6\sqrt{3}\)
Rút gọn
C = 21(\(\sqrt{2+\sqrt{3}}\) -\(\sqrt{6-2\sqrt{5}}\))2-6(\(\sqrt{2-\sqrt{3}}\) +\(\sqrt{\left(3+\sqrt{5}\right)^2}\))
Rút gọn biểu thức
A= \(\sqrt{\left(2-\sqrt{3}\right)^2}\)+\(\sqrt{3}\)
B=\(\sqrt{6+2\sqrt{5}}\)-\(\sqrt{6-2\sqrt{5}}\)
Rút gọn: (Giải chi tiết từng bước)
5) \(\left(2\sqrt{3}+\sqrt{5}\right)\sqrt{3}-\sqrt{60}\)
6) \(\left(5\sqrt{2}+2\sqrt{5}\right)\sqrt{5}-\sqrt{250}\)
Rút gọn biểu thức :
\(C=\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{3}-\sqrt{2}\right)\sqrt{\sqrt{3}+2}\)