Các câu hỏi tương tự
Rút gọn
\(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2}+\sqrt{3}}+\frac{2-\sqrt{3}}{\sqrt{2}+\sqrt{2}-\sqrt{3}}\)
\(M=\frac{2\sqrt{4-\sqrt{5+\sqrt{21+\sqrt{80}}}}}{\sqrt{10\:\:}-\sqrt{2}}\)
Rút gọn
Rút gọn biểu thức
\(\sqrt{\frac{2+\sqrt{3}}{2}}-\sqrt{\frac{2-\sqrt{3}}{2}}\)
Rút gọn:
\(A=\frac{1}{1-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}-\sqrt{4}}+...+\frac{1}{\sqrt{99}-\sqrt{100}}\)
Rút gọn:
\(A=\left(\frac{2+\sqrt{x}}{x-5\sqrt{x}+6}-\frac{\sqrt{x}+3}{2-\sqrt{x}}-\frac{\sqrt{x}+2}{\sqrt{x}-3}\right):\left(2-\frac{\sqrt{x}}{1+\sqrt{x}}\right)\)
rút gọn:\(\frac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-4}+\frac{5-2\sqrt{5}}{2\sqrt{5}-4}\)
Xem chi tiết
\(\left(1+\frac{11-\sqrt{11}}{1-\sqrt{11}}\right)\left(\frac{11+\sqrt{11}}{1+\sqrt{11}}+1\right)\)
Rút gọn :\(A=\frac{\sqrt{6+2.\left(\sqrt{6}+\sqrt{3}+\sqrt{2}\right)}-\sqrt{6-2.\left(\sqrt{6}-\sqrt{3}-\sqrt{2}\right)}}{\sqrt{2}}\)
Cho \(A=\frac{x\sqrt{x}+5\sqrt{x}-12}{x-\sqrt{x}-6}-\frac{2\sqrt{x}-6}{\sqrt{x}+2}+\frac{\sqrt{x}+3}{3-\sqrt{x}}.\)
1.Rút gọn A
\(A=\left(\sqrt{3}+1\right)^2+\frac{5}{4}\sqrt{48}-\frac{2}{\sqrt{3+1}}\)
\(B=\frac{4}{3-\sqrt{5}}-\frac{3}{\sqrt{5}+\sqrt{2}}-\frac{1}{\sqrt{2}-1}\)
\(C=\sqrt{4-2\sqrt{3}}-\sqrt{7+4\sqrt{3}}\)
Rút gọn
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