Các câu hỏi tương tự
Bài 1: Tính :Csqrt{frac{3sqrt{3}-4}{2sqrt{3}+1}}-sqrt{frac{sqrt{3}+4}{5-2sqrt{3}}}Bfrac{1}{sqrt{1}+sqrt{2}}+frac{1}{sqrt{2}+sqrt{3}}+frac{1}{sqrt{3}+sqrt{4}}+....+frac{1}{sqrt{99}+sqrt{100}}Dsqrt{1+sqrt{3+sqrt{13+4sqrt{3}}}}+sqrt{1-sqrt{3-sqrt{13-4sqrt{3}}}}Bài 2 : Cho Pleft(frac{1}{sqrt{x}-1}+frac{x-sqrt{x}+6}{x+sqrt{x}-2}right):left(frac{sqrt{x}+1}{sqrt{x}+2}+frac{x-sqrt{x}-2}{x+sqrt{x}+2}right) a, Rút gọn P b, Tìm GTNNc, Tìm x để P.frac{x-1}{x^2+8x} -2
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Bài 1: Tính :
\(C=\sqrt{\frac{3\sqrt{3}-4}{2\sqrt{3}+1}}-\sqrt{\frac{\sqrt{3}+4}{5-2\sqrt{3}}}\)
\(B=\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+....+\frac{1}{\sqrt{99}+\sqrt{100}}\)
\(D=\sqrt{1+\sqrt{3+\sqrt{13+4\sqrt{3}}}}+\sqrt{1-\sqrt{3-\sqrt{13-4\sqrt{3}}}}\)
Bài 2 : Cho \(P=\left(\frac{1}{\sqrt{x}-1}+\frac{x-\sqrt{x}+6}{x+\sqrt{x}-2}\right):\left(\frac{\sqrt{x}+1}{\sqrt{x}+2}+\frac{x-\sqrt{x}-2}{x+\sqrt{x}+2}\right)\)
a, Rút gọn P
b, Tìm GTNN
c, Tìm x để \(P.\frac{x-1}{x^2+8x}< -2\)
1. sqrt{x-2sqrt{x-1}}+sqrt{x+3-4sqrt{x-1}}left(2 x 5right)2. frac{6}{1-sqrt{3}}-frac{3sqrt{3}-1}{sqrt{3}+1}+sqrt{3}3. sqrt{29-12sqrt{5}+sqrt{24-8sqrt{3}}}4. sqrt{frac{4}{9-4sqrt{5}}}-sqrt{frac{4}{9+4sqrt{5}}}5. 5sqrt{frac{1}{5}}+frac{1}{2}sqrt{x}-frac{5}{4}sqrt{frac{4}{5}+sqrt{5}}6. frac{6-sqrt{6}}{sqrt{6}-1}-9sqrt{frac{2}{3}}-frac{4}{2-sqrt{6}}7. left(frac{sqrt{x}-2}{x-1}-frac{sqrt{x}+2}{x+2sqrt{x}+1}right)frac{left(sqrt{x}-1right)^2}{2}left(xge0,xne1right)
Đọc tiếp
1. \(\sqrt{x-2\sqrt{x-1}}+\sqrt{x+3-4\sqrt{x-1}}\left(2< x< 5\right)\)
2. \(\frac{6}{1-\sqrt{3}}-\frac{3\sqrt{3}-1}{\sqrt{3}+1}+\sqrt{3}\)
3. \(\sqrt{29-12\sqrt{5}+\sqrt{24-8\sqrt{3}}}\)
4. \(\sqrt{\frac{4}{9-4\sqrt{5}}}-\sqrt{\frac{4}{9+4\sqrt{5}}}\)
5. \(5\sqrt{\frac{1}{5}}+\frac{1}{2}\sqrt{x}-\frac{5}{4}\sqrt{\frac{4}{5}+\sqrt{5}}\)
6. \(\frac{6-\sqrt{6}}{\sqrt{6}-1}-9\sqrt{\frac{2}{3}}-\frac{4}{2-\sqrt{6}}\)
7. \(\left(\frac{\sqrt{x}-2}{x-1}-\frac{\sqrt{x}+2}{x+2\sqrt{x}+1}\right)\frac{\left(\sqrt{x}-1\right)^2}{2}\left(x\ge0,x\ne1\right)\)
a,(4sqrt{3}-4)*sqrt{3+sqrt{5-sqrt{13+2sqrt{12}}}}b,sqrt{1+frac{1}{^{6^2}}+frac{1}{7^2}}+sqrt{1+frac{1}{7^2}+frac{1}{8^2}}+sqrt{1+frac{1}{8^2}+frac{1}{9^2}}c,sqrt{x+4sqrt{x-4}}+sqrt{x-4sqrt{x-4}}Rút gọn và tìm giá trị lớn nhấtgiúp e vs
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a,(\(4\sqrt{3}\)-4)*\(\sqrt{3+\sqrt{5-\sqrt{13+2\sqrt{12}}}}\)
b,\(\sqrt{1+\frac{1}{^{6^2}}+\frac{1}{7^2}}\)+\(\sqrt{1+\frac{1}{7^2}+\frac{1}{8^2}}\)+\(\sqrt{1+\frac{1}{8^2}+\frac{1}{9^2}}\)
c,\(\sqrt{x+4\sqrt{x-4}}\)+\(\sqrt{x-4\sqrt{x-4}}\)
Rút gọn và tìm giá trị lớn nhất
giúp e vs
Tính 1. Afrac{frac{sqrt{2+sqrt{3}}}{2}}{frac{sqrt{2+sqrt{3}}}{2}-frac{2}{sqrt{16}}+frac{sqrt{2+sqrt{3}}}{2sqrt{3}}}2. Bfrac{2left(frac{sqrt{2}+sqrt{3}}{6sqrt{2}}right)^{-1}+3left(frac{sqrt{2}+sqrt{3}}{4sqrt{3}}right)}{left(frac{2+sqrt{6}}{12}right)^{-1}+left(frac{3+sqrt{6}}{12}right)^{-1}}P/s: Đề phức tạp vlin nên ứ làm đc đành phải nhờ mấy pro giúp :)) Tks nhìu nha 3
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Tính
1. \(A=\frac{\frac{\sqrt{2+\sqrt{3}}}{2}}{\frac{\sqrt{2+\sqrt{3}}}{2}-\frac{2}{\sqrt{16}}+\frac{\sqrt{2+\sqrt{3}}}{2\sqrt{3}}}\)
2. \(B=\frac{2\left(\frac{\sqrt{2}+\sqrt{3}}{6\sqrt{2}}\right)^{-1}+3\left(\frac{\sqrt{2}+\sqrt{3}}{4\sqrt{3}}\right)}{\left(\frac{2+\sqrt{6}}{12}\right)^{-1}+\left(\frac{3+\sqrt{6}}{12}\right)^{-1}}\)
P/s: Đề phức tạp vlin nên ứ làm đc đành phải nhờ mấy pro giúp :)) Tks nhìu nha <3
Tính A=\(\left(\frac{2}{\sqrt{5}-3}-\frac{2}{\sqrt{5}+3}\right)×\frac{\sqrt{3}-3}{1-\sqrt{3}}+3\sqrt{27}\)
B=\(\left(\frac{15}{\sqrt{6}+1}+\frac{4}{\sqrt{6}-2}-\frac{12}{3-\sqrt{6}}\right)×\left(11+\sqrt{6}\right)\)
Tìm x để E=\(\sqrt{x-5}+\sqrt{7}\)nhỏ nhất
Tìm x để F=\(\frac{4-\sqrt{x}}{\sqrt{x}+2}\)lớn nhất
a, A=\(\frac{x+2\sqrt{x}-3}{\sqrt{x}-1}\)
b, B= \(\frac{4y+3\sqrt{y}-7}{4\sqrt{y}+7}\)
c, C=\(\frac{x\sqrt{y}-y\sqrt{x}}{\sqrt{x}-\sqrt{y}}\)
d, D= \(\frac{x-3\sqrt{x}-4}{x-\sqrt{x}-12}\)
e,E= \(\sqrt{6+2\sqrt{5}}+\sqrt{6-2\sqrt{5}}\)
D, D=\(\sqrt{13-4\sqrt{10}}+\sqrt{13+4\sqrt{10}}\)
GIÚP EM ĐI ẠTÍNH:frac{3-sqrt{6+sqrt{3+sqrt{6+sqrt{3}}}}}{3-sqrt{3+sqrt{6+sqrt{3}}}}+frac{2+sqrt{6+sqrt{3+sqrt{6+sqrt{3}}}}}{3+sqrt{6+sqrt{3+sqrt{6+sqrt{3}}}}}frac{1+frac{sqrt{3}}{2}}{1+sqrt{1+frac{sqrt{3}}{2}}}+frac{1-frac{sqrt{3}}{2}}{1-sqrt{1-frac{sqrt{3}}{2}}}frac{1}{sqrt{frac{5}{13}}+sqrt{frac{5}{7}}+1}+frac{1}{sqrt{frac{7}{5}}+sqrt{frac{7}{13}}+1}+frac{1}{sqrt{1frac{6}{7}}+1+sqrt{2frac{3}{5}}}RÚT GỌNsqrt{left(x-1right)^2}-x với x lớn hơn 1GIẢI PHƯƠNG TRÌNHsqrt{x^2-3x+2}+sqrt{x^2-4x+3}0
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GIÚP EM ĐI Ạ
TÍNH:
\(\frac{3-\sqrt{6+\sqrt{3+\sqrt{6+\sqrt{3}}}}}{3-\sqrt{3+\sqrt{6+\sqrt{3}}}}+\frac{2+\sqrt{6+\sqrt{3+\sqrt{6+\sqrt{3}}}}}{3+\sqrt{6+\sqrt{3+\sqrt{6+\sqrt{3}}}}}\)
\(\frac{1+\frac{\sqrt{3}}{2}}{1+\sqrt{1+\frac{\sqrt{3}}{2}}}+\frac{1-\frac{\sqrt{3}}{2}}{1-\sqrt{1-\frac{\sqrt{3}}{2}}}\)
\(\frac{1}{\sqrt{\frac{5}{13}}+\sqrt{\frac{5}{7}}+1}+\frac{1}{\sqrt{\frac{7}{5}}+\sqrt{\frac{7}{13}}+1}+\frac{1}{\sqrt{1\frac{6}{7}}+1+\sqrt{2\frac{3}{5}}}\)
RÚT GỌN
\(\sqrt{\left(x-1\right)^2}-x\) với x lớn hơn 1
GIẢI PHƯƠNG TRÌNH
\(\sqrt{x^2-3x+2}+\sqrt{x^2-4x+3}=0\)
1. x+sqrt{2x-3}1+sqrt{x-1}+sqrt{x^2-3x+3}2. frac{sqrt{x}}{1+sqrt{1-x}}x^2-2x+23. sqrt[6]{6x-5}frac{x^7}{8x^2-10x+3}4. sqrt{x-3}+sqrt{11-x}+6y+3sqrt{4-2y^2}-1505. sqrt{2x-3}+sqrt{21-2x}x^4-12x^3+37x^2-12x+426. 4x^2+23sqrt[3]{4x^3+x}giải pt vô tỉ. Ai giúp với tks tks tks 3
Đọc tiếp
1. \(x+\sqrt{2x-3}\)\(=1+\sqrt{x-1}+\sqrt{x^2-3x+3}\)
2. \(\frac{\sqrt{x}}{1+\sqrt{1-x}}=x^2-2x+2\)
3. \(\sqrt[6]{6x-5}=\frac{x^7}{8x^2-10x+3}\)
4. \(\sqrt{x-3}+\sqrt{11-x}+\)\(6y+3\sqrt{4-2y^2}-15=0\)
5. \(\sqrt{2x-3}+\sqrt{21-2x}=\)\(x^4-12x^3+37x^2-12x+42\)
6. \(4x^2+2=3\sqrt[3]{4x^3+x}\)
giải pt vô tỉ. Ai giúp với tks tks tks <3
Bài 1: Rút gọna. left(5-2sqrt{3}right)^2+left(5+2sqrt{3}right)^2b. left(sqrt{5}+sqrt{2}right)^2-left(2sqrt{5}+1right)left(2sqrt{5}-1right)-sqrt{40}c. left(sqrt{2}-1right)^2-frac{2}{3}sqrt{4}+frac{4sqrt{2}}{5}+sqrt{1frac{11}{15}}-sqrt{2}d. left(sqrt{6}-sqrt{18}+5sqrt{2}-frac{1}{2}sqrt{8}right)2sqrt{6}+2sqrt{3}e. left(2sqrt{3}-3sqrt{2}right)^2+6sqrt{6}+3sqrt{24}Bài 2: Rút gọnA left(frac{1}{x-sqrt{x}}+frac{1}{sqrt{x}-1}:frac{sqrt{x+1}}{x-2sqrt{x}+1}right)(x0 ; x khác 1)
Đọc tiếp
Bài 1: Rút gọn
a. \(\left(5-2\sqrt{3}\right)^2+\left(5+2\sqrt{3}\right)^2\)
b. \(\left(\sqrt{5}+\sqrt{2}\right)^2-\left(2\sqrt{5}+1\right)\left(2\sqrt{5}-1\right)-\sqrt{40}\)
c. \(\left(\sqrt{2}-1\right)^2-\frac{2}{3}\sqrt{4}+\frac{4\sqrt{2}}{5}+\sqrt{1\frac{11}{15}}-\sqrt{2}\)
d. \(\left(\sqrt{6}-\sqrt{18}+5\sqrt{2}-\frac{1}{2}\sqrt{8}\right)2\sqrt{6}+2\sqrt{3}\)
e. \(\left(2\sqrt{3}-3\sqrt{2}\right)^2+6\sqrt{6}+3\sqrt{24}\)
Bài 2: Rút gọn
A =\(\left(\frac{1}{x-\sqrt{x}}+\frac{1}{\sqrt{x}-1}:\frac{\sqrt{x+1}}{x-2\sqrt{x}+1}\right)\)(x>0 ; x khác 1)