bạn viết rõ đề ra đi bạn vào phần Fx trên bảng ấy
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√(2+√3) +√(2+√(2+√3)+√(2*√(2+√(2+√3) + √(2-√2+√(2+√3)
√ (2+√ 3)*√ (2+√(2+√ 3))*√(2+√(2+√(2+√3)))*√(2-√(2+√(2+√3)))
Giải các phương trình sau:a 2sqrt[3]{left(x+2right)^2}-sqrt[3]{left(x-2right)^2}sqrt[3]{x^2-4}b sqrt[3]{left(65+xright)^2}+4sqrt[3]{left(65-xright)^2}5sqrt[3]{65^2-x^2}c sqrt[3]{x+1}+sqrt[3]{x+2}1+sqrt[3]{x^2+3x+2}d sqrt[3]{x-2}+sqrt[3]{x+3}sqrt[3]{2x+1}e sqrt[3]{2x-1}+sqrt[3]{x-1}sqrt[3]{3x+1}
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Giải các phương trình sau:
a \(2\sqrt[3]{\left(x+2\right)^2}-\sqrt[3]{\left(x-2\right)^2}=\sqrt[3]{x^2-4}\)
b \(\sqrt[3]{\left(65+x\right)^2}+4\sqrt[3]{\left(65-x\right)^2}=5\sqrt[3]{65^2-x^2}\)
c \(\sqrt[3]{x+1}+\sqrt[3]{x+2}=1+\sqrt[3]{x^2+3x+2}\)
d \(\sqrt[3]{x-2}+\sqrt[3]{x+3}=\sqrt[3]{2x+1}\)
e \(\sqrt[3]{2x-1}+\sqrt[3]{x-1}=\sqrt[3]{3x+1}\)
a/ (√10+√2) (6-2√5)√(3+√5)
b/ √(13-√160) - √(53-4√90)
c/ √(10+√24+√40+√60)
d/ (√2+√3+√6+√8+√16)/(√2+√3+√4)
e/ [√216/3-(2√3-√6)/(√8-2)] ×1/√6
f/ 1/(√2-√3) × √[(3√2-2√3)/(3√2+2√3)]
g/ 1/(√1+√2) + 1/(√2+√3) + ......+ 1/(√2017+√2018)
\(\dfrac{3\sqrt{2}-2\sqrt{3}}{\sqrt{3}-\sqrt{2}}-\dfrac{3\sqrt{2}+2\sqrt{3}}{\sqrt{3}+\sqrt{2}}\)
6 tháng 7 2021 lúc 16:43
có ai biết giải bài toán này k giúp mình với ?1,sqrt{dfrac{2+sqrt{3}}{2-sqrt{3}}+sqrt{dfrac{2-sqrt{3}}{2+sqrt{3}}}}2,sqrt{dfrac{2+sqrt{3}}{2-sqrt{3}}}-sqrt{dfrac{2-sqrt{3}}{2+sqrt{3}}}3,dfrac{3}{sqrt{6}-sqrt{3}}+dfrac{4}{sqrt{7}+sqrt{3}}4,left(sqrt{dfrac{2}{3}-sqrt{dfrac{3}{2}}+dfrac{5}{sqrt{6}}}right):dfrac{6-sqrt{6}}{1-sqrt{6}}5,left(sqrt{75}-3sqrt{2}-sqrt{12}right)timesleft(sqrt{3}+sqrt{2}right)6,dfrac{sqrt{5}+sqrt{3}}{sqrt{5}-sqrt{3}}+dfrac{sqrt{5}+sqrt{3}}{sqrt{5}-sqrt{3}}-dfrac{sqrt{5}+1}{...
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có ai biết giải bài toán này k giúp mình với ?
1,\(\sqrt{\dfrac{2+\sqrt{3}}{2-\sqrt{3}}+\sqrt{\dfrac{2-\sqrt{3}}{2+\sqrt{3}}}}\)
2,\(\sqrt{\dfrac{2+\sqrt{3}}{2-\sqrt{3}}}-\sqrt{\dfrac{2-\sqrt{3}}{2+\sqrt{3}}}\)
3,\(\dfrac{3}{\sqrt{6}-\sqrt{3}}+\dfrac{4}{\sqrt{7}+\sqrt{3}}\)
4,\(\left(\sqrt{\dfrac{2}{3}-\sqrt{\dfrac{3}{2}}+\dfrac{5}{\sqrt{6}}}\right):\dfrac{6-\sqrt{6}}{1-\sqrt{6}}\)
5,\(\left(\sqrt{75}-3\sqrt{2}-\sqrt{12}\right)\times\left(\sqrt{3}+\sqrt{2}\right)\)
6,\(\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}+\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}-\dfrac{\sqrt{5}+1}{\sqrt{5}-1}\)
7, \(\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}+\dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\)
8,\(\dfrac{4}{\sqrt{3}+1}+\dfrac{1}{\sqrt{3}-2}+\dfrac{6}{\sqrt{3}-3}\)
9,\(\dfrac{1}{4-3\sqrt{2}}-\dfrac{1}{4+3\sqrt{2}}\)
10,\(\dfrac{1}{\sqrt{2}+1}+\dfrac{1}{\sqrt{3}+\sqrt{2}}+\dfrac{1}{\sqrt{4}+\sqrt{3}}\)
11,\(\left(\dfrac{\sqrt{14}-\sqrt{7}}{1-\sqrt{2}}+\dfrac{\sqrt{15}+\sqrt{5}}{1-\sqrt{3}}\right):\dfrac{1}{\sqrt{7}-\sqrt{5}}\)
12,\(\dfrac{\sqrt{3}+2\sqrt{2}+\sqrt{3}-2\sqrt{2}}{\sqrt{3}+2\sqrt{2}-\sqrt{3}-2\sqrt{2}}\)
1) dfrac{2}{sqrt{5}-2}+dfrac{-2}{sqrt{5}+2}2) dfrac{4}{1-sqrt{3}}+dfrac{sqrt{3}-1}{sqrt{3}+1}3) dfrac{sqrt{2}-1}{sqrt{2}+1}-dfrac{3-sqrt{2}}{3+sqrt{2}}4) dfrac{6}{1-sqrt{3}}-dfrac{3sqrt{3}-3}{sqrt{3}+1}5) dfrac{sqrt{5}+sqrt{6}}{sqrt{5}-sqrt{6}}+dfrac{sqrt{6}-sqrt{5}}{sqrt{6}+sqrt{5}}
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1) \(\dfrac{2}{\sqrt{5}-2}+\dfrac{-2}{\sqrt{5}+2}\)
2) \(\dfrac{4}{1-\sqrt{3}}+\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\)
3) \(\dfrac{\sqrt{2}-1}{\sqrt{2}+1}-\dfrac{3-\sqrt{2}}{3+\sqrt{2}}\)
4) \(\dfrac{6}{1-\sqrt{3}}-\dfrac{3\sqrt{3}-3}{\sqrt{3}+1}\)
5) \(\dfrac{\sqrt{5}+\sqrt{6}}{\sqrt{5}-\sqrt{6}}+\dfrac{\sqrt{6}-\sqrt{5}}{\sqrt{6}+\sqrt{5}}\)
chứng minh 1^3+2^3+...+(n+1)^3=3(1^2+2^2+3^2+...+n^2)
C/M đẳng thức
a, \(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}=\sqrt{2}\)
b, \(\frac{\sqrt{1+\frac{2\sqrt{2}}{3}}+\sqrt{1-\frac{2\sqrt{2}}{3}}}{\sqrt{1+\frac{2\sqrt{2}}{3}}-\sqrt{1-\frac{2\sqrt{2}}{3}}}=\sqrt{2}\)