Ta có: \(A=\sqrt{27}-2\sqrt{12}-\sqrt{75}\)
\(=3\sqrt{3}-2\cdot2\sqrt{3}-5\sqrt{3}\)
\(=-6\sqrt{3}\)
\(\Rightarrow A=3\sqrt{3}-2\cdot2\sqrt{3}-5\sqrt{3}=-4\sqrt{3}\)
⇔ A = \(3\sqrt{3}-4\sqrt{3}-5\sqrt{3}\)
⇔ \(A=-6\sqrt{3}\)
Ta có: \(A=\sqrt{27}-2\sqrt{12}-\sqrt{75}\)
\(=3\sqrt{3}-2\cdot2\sqrt{3}-5\sqrt{3}\)
\(=-6\sqrt{3}\)
\(\Rightarrow A=3\sqrt{3}-2\cdot2\sqrt{3}-5\sqrt{3}=-4\sqrt{3}\)
⇔ A = \(3\sqrt{3}-4\sqrt{3}-5\sqrt{3}\)
⇔ \(A=-6\sqrt{3}\)
Rút gọn các biểu thức sau :
a,\(\dfrac{\sqrt{6}+\sqrt{10}}{\sqrt{21}+\sqrt{35}}\)
b,\(\dfrac{\sqrt{405}+3\sqrt{27}}{3\sqrt{3}+\sqrt{45}}\)
c,\(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{4}-\sqrt{6}-\sqrt{9}-\sqrt{12}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
d, D=\(\dfrac{2}{x^2-y^2}\cdot\sqrt{\dfrac{9\left(x^2+2xy+y^2\right)}{4}}\) \(\left(vớix\ne y,x\ne-y\right)\)
\(\sqrt{\dfrac{27\left(x-1\right)^2}{12}}+\dfrac{3}{2}-\left(x-2\right)\sqrt{\dfrac{50x^2}{8\left(x-2\right)^2}}\)rút gọn biểu thức : Đk : 1 <x<2 ( cho em xin lời giải chi tiết ạ )
Rút gọn các biểu thức sau:
D = \(\sqrt{9+4\sqrt{2}}-3\)
E = \(\sqrt{4+2\sqrt{3}}-\sqrt{13+4\sqrt{3}}\)
F = \(\sqrt{7-4\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)
Rút gọn biểu thức:
a) \(\sqrt{6+2\sqrt{4-2\sqrt{3}}}\)
b) \(\sqrt{6-2\sqrt{3+\sqrt{13+4\sqrt{3}}}}\)
c) \(\sqrt{\sqrt{3}+\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)
d) \(\sqrt{23-6\sqrt{10+4\sqrt{3-2\sqrt{2}}}}\)
1.Thực hiện phép tính:
a.\(\sqrt{12}-\sqrt{27}+\sqrt{3}\)
b.\(\left(\sqrt{12}-2\sqrt{75}\right)\sqrt{3}\)
c.\(\sqrt{225}-\sqrt{700}+\sqrt{1008}-\sqrt{448}\)
d.\(\sqrt{3}\left(\sqrt{12}+\sqrt{27}-\sqrt{3}\right)\)
1] rút gọn
a) (\(\sqrt{12}\) + \(3\sqrt{5}\) - \(4\sqrt{135}\)) 13
b) \(\sqrt{252}\) - \(\sqrt{700}\) + \(\sqrt{1008}\) - \(\sqrt{448}\)
c) \(2\sqrt{40\sqrt{12}}\) - \(2\sqrt{\sqrt{75}}\) -\(3\sqrt{5\sqrt{48}}\)
2]
a) A= \(\frac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\)
b) B= \(\frac{9\sqrt{5}+3\sqrt{27}}{\sqrt{5}+\sqrt{3}}\)
c) C= \(\frac{3\sqrt{8}-2\sqrt{12}+\sqrt{20}}{3\sqrt{18}-2\sqrt{27}+\sqrt{45}}\)
thực hiện phép tính
\(\sqrt{12}+2\sqrt{27}+3\sqrt{75}-9\sqrt{48}\)
thực hiện phép tính ngắn gọn nhất
a) (\(\sqrt{12}\) +\(\sqrt{27}\) -\(\sqrt{3}\)) . \(\sqrt{3}\)
rút gọn biểu thức
\(\dfrac{x\sqrt{y}-y\sqrt{x}}{x-\sqrt{xy}+y}\)