16 tháng 6 2021 lúc 22:25
ở dưới có mấy bài tương tự đó
Các câu hỏi tương tự
Cho \(x=\frac{1}{3}\left(1+\sqrt[3]{\frac{12+\sqrt{135}}{3}}+\sqrt[3]{\frac{12-\sqrt{135}}{3}}\right)\)(ko dùng máy tính tính giá trị biểu thức \(M=\left(9x^3+9x^2-3\right)^2\)
Cho \(x=\frac{1}{3}\left(1+\sqrt[3]{\frac{12+\sqrt{135}}{3}}+\sqrt[3]{\frac{12-\sqrt{135}}{3}}\right)\)
ko dúng máy tính tính giá trị biểu thức M=\(\left(9x^3-9x^2-3\right)^2\)
Cho \(x=\frac{1}{3}\left(1+\sqrt[3]{\frac{12+\sqrt{135}}{3}}+\sqrt[3]{\frac{12-\sqrt{125}}{3}}\right)\)
Tính \(M=9x^3-9x^2-3\)
18 tháng 7 2021 lúc 15:01
\(Cho\) \(x=\dfrac{1}{3}\left(1+\sqrt[3]{\dfrac{12+\sqrt{135}}{3}}+\sqrt[3]{\dfrac{12-\sqrt{135}}{3}}\right)\). \(Tính\) \(M=\left(9x^3-9x^2-3\right)^2\)
Mọi người giúp em với ạ, em cảm ơn ^^
Giải giùm mình nha ^^
1/Tính:
a)\(3\sqrt{\frac{1}{3}}-\frac{1}{\sqrt{3}+\sqrt{2}}\)
b)\(\sqrt{\left(\sqrt{3}+1\right)^2}-\sqrt{\left(1-\sqrt{3}\right)^2}\)
2/ Tìm x:
a)\(\sqrt{36x^2-12x+1}=5\)
b)\(\sqrt{x-5}-2\sqrt{4x-20}-\frac{1}{3}\sqrt{9x-45}=12\)
RÚT GON:1.frac{xsqrt{x}-3}{x-2sqrt{x}-3}-frac{2left(sqrt{x}-3right)}{sqrt{x}+1}+frac{sqrt{x}+3}{3-sqrt{x}}2.frac{left(x+sqrt{x}+1right)^2+1}{left(x+1right)^2}-frac{left(x-sqrt{x}-1right)^2-1}{left(1-xright)^2}3.frac{3x+sqrt{9x}-3}{3+sqrt{x}-2}-frac{sqrt{x}+1}{sqrt{x}+2}+frac{sqrt{x}-2}{1-sqrt{x}}
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RÚT GON:
\(1.\)\(\frac{x\sqrt{x}-3}{x-2\sqrt{x}-3}-\frac{2\left(\sqrt{x}-3\right)}{\sqrt{x}+1}+\frac{\sqrt{x}+3}{3-\sqrt{x}}\)
\(2.\)\(\frac{\left(x+\sqrt{x}+1\right)^2+1}{\left(x+1\right)^2}-\frac{\left(x-\sqrt{x}-1\right)^2-1}{\left(1-x\right)^2}\)
\(3.\)\(\frac{3x+\sqrt{9x}-3}{3+\sqrt{x}-2}-\frac{\sqrt{x}+1}{\sqrt{x}+2}+\frac{\sqrt{x}-2}{1-\sqrt{x}}\)
Mọi người cho em hỏi:left(frac{sqrt{x}}{left[sqrt{x}-3right]left[sqrt{x}+3right]}+frac{2}{sqrt{x}+3}-frac{3}{sqrt{x}-3}right):left(sqrt{x}-3+frac{12-x}{sqrt{x}+3}right)left(frac{sqrt{x}+2left[sqrt{x}-3right]-3left[sqrt{x}+3right]}{left[sqrt{x}-3right]left[sqrt{x}+3right]}right):left(frac{left[sqrt{x}-3right]left[sqrt{x}+3right]+12-x}{sqrt{x}-3}right)left(frac{sqrt{x}+2sqrt{x}-6-3sqrt{x}-9}{left[sqrt{x}+3right]left[sqrt{x}-3right]}right):left(frac{x+3sqrt{x}-3sqrt{x}-9+12-x}{sqrt{x}+3}right)left(...
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Mọi người cho em hỏi:
\(\left(\frac{\sqrt{x}}{\left[\sqrt{x}-3\right]\left[\sqrt{x}+3\right]}+\frac{2}{\sqrt{x}+3}-\frac{3}{\sqrt{x}-3}\right):\left(\sqrt{x}-3+\frac{12-x}{\sqrt{x}+3}\right)\)
\(\left(\frac{\sqrt{x}+2\left[\sqrt{x}-3\right]-3\left[\sqrt{x}+3\right]}{\left[\sqrt{x}-3\right]\left[\sqrt{x}+3\right]}\right):\left(\frac{\left[\sqrt{x}-3\right]\left[\sqrt{x}+3\right]+12-x}{\sqrt{x}-3}\right)\)
\(\left(\frac{\sqrt{x}+2\sqrt{x}-6-3\sqrt{x}-9}{\left[\sqrt{x}+3\right]\left[\sqrt{x}-3\right]}\right):\left(\frac{x+3\sqrt{x}-3\sqrt{x}-9+12-x}{\sqrt{x}+3}\right)\)
\(\left(\frac{-15}{\left[\sqrt{x}+3\right]\left[\sqrt{x}-3\right]}\right):\left(\frac{3}{\sqrt{x}+3}\right)\)
\(\left(\frac{-15}{\left[\sqrt{x}+3\right]\left[\sqrt{x}-3\right]}\right).\left(\frac{\sqrt{x}+3}{3}\right)\)
\(\frac{-5}{\sqrt{x}-3}\)
Giải các phương trình sau:1) frac{1}{sqrt{x}}+frac{1}{sqrt{x}+1}sqrt{5}.left(frac{1}{sqrt{6x-1}}+frac{1}{sqrt{9x-4}}right).2) frac{1}{sqrt{3}x}+frac{1}{sqrt{9x-3}}frac{1}{sqrt{5x-1}}+frac{1}{sqrt{7x-2}}3) hept{begin{cases}x^3-y^3-z^33xyzx^32left(y+zright)end{cases}}4) hept{begin{cases}x^3+y^3+2xyzz^3z^3left(2x+2yright)^3end{cases}}
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Giải các phương trình sau:
1) \(\frac{1}{\sqrt{x}}+\frac{1}{\sqrt{x}+1}=\sqrt{5}.\left(\frac{1}{\sqrt{6x-1}}+\frac{1}{\sqrt{9x-4}}\right).\)
2) \(\frac{1}{\sqrt{3}x}+\frac{1}{\sqrt{9x-3}}=\frac{1}{\sqrt{5x-1}}+\frac{1}{\sqrt{7x-2}}\)
3) \(\hept{\begin{cases}x^3-y^3-z^3=3xyz\\x^3=2\left(y+z\right)\end{cases}}\)
4) \(\hept{\begin{cases}x^3+y^3+2xyz=z^3\\z^3=\left(2x+2y\right)^3\end{cases}}\)
Rút gọn các biểu thức sau:a.frac{1}{sqrt{2}-sqrt{3}}-sqrt{frac{3sqrt{2}-2sqrt{3}}{3sqrt{2}+2sqrt{3}}} b.sqrt{frac{4}{left(2-sqrt{5}right)^2}}-sqrt{frac{4}{left(2+sqrt{5}right)^2}}c.sqrt{frac{3+2sqrt{2}}{3-2sqrt{2}}}+sqrt{frac{sqrt{2}-1}{sqrt{2}+1}} d.frac{1}{sqrt{5}-2}.sqrt{frac{2sqrt{5}-4}{2sqrt{5}+4}}e.x+1-sqrt{x^2-2x+1}left(x1right) f.3x+sqrt{9x^2+6x+1}left(x frac{1}{3}right)g.frac{1}{9x^2-1}.sqrt{1-6x+9x^2}left(x frac{1}{3}right) h.frac{a-b}{3b}.sqrt{frac{4a^2...
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Rút gọn các biểu thức sau:
\(a.\frac{1}{\sqrt{2}-\sqrt{3}}-\sqrt{\frac{3\sqrt{2}-2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}}}\) \(b.\sqrt{\frac{4}{\left(2-\sqrt{5}\right)^2}}-\sqrt{\frac{4}{\left(2+\sqrt{5}\right)^2}}\)
\(c.\sqrt{\frac{3+2\sqrt{2}}{3-2\sqrt{2}}}+\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}\) \(d.\frac{1}{\sqrt{5}-2}.\sqrt{\frac{2\sqrt{5}-4}{2\sqrt{5}+4}}\)
\(e.x+1-\sqrt{x^2-2x+1}\left(x>=1\right)\) \(f.3x+\sqrt{9x^2+6x+1}\left(x< \frac{1}{3}\right)\)
\(g.\frac{1}{9x^2-1}.\sqrt{1-6x+9x^2}\left(x< =\frac{1}{3}\right)\) \(h.\frac{a-b}{3b}.\sqrt{\frac{4a^2b^4}{a^2-2ab+b^2}}\left(a< b< 0\right)\)
\(\frac{\sqrt{x}-1}{3\sqrt{x}-1}-\frac{1}{3\sqrt{x}+1}+\frac{8\sqrt{x}}{9x-1}:\left(1-\frac{3\sqrt{x}-2}{3\sqrt{x}+1}\right)\)