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\(13+23+33+33+53\)
\(=36+33+33+53\)
\(=69+33+53\)
\(=102+53\)
\(=155\)
\(=>a=\sqrt{155}\)
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\(\frac{\frac{6}{13}-\frac{6}{23}+\frac{6}{33}-\frac{6}{43}}{\frac{5}{13}-\frac{5}{23}+\frac{5}{33}-\frac{5}{43}}\)
= \(\frac{6.\left(\frac{1}{13}-\frac{1}{23}+\frac{1}{33}-\frac{1}{43}\right)}{5.\left(\frac{1}{13}-\frac{1}{23}+\frac{1}{33}-\frac{1}{43}\right)}\)
= \(\frac{6}{5}\)
k cho mình nhé
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A=7*(1/3*13+1/13*23+1/23*33+1/33*43+1/43*53+1/53*63)
A=7/10(1/3-1/13+1/13-1/23+1/23-1/33+1/33-1/43+1/43-1/53+1/53-1/63)
A=7/10*(1/3-1/63)
A=7/10*20/63
A=2/9
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\(tuA=1003+1007+\dfrac{2010}{113}+\dfrac{2010}{117}-\dfrac{2010}{119}=2010\left(1+\dfrac{1}{113}+\dfrac{1}{117}-\dfrac{1}{119}\right)\)\(mauA=1003+1008+\dfrac{2011}{113}+\dfrac{2011}{117}-\dfrac{2011}{119}=2011\left(1+\dfrac{1}{113}+\dfrac{1}{117}-\dfrac{1}{119}\right)\)có \(\left(1+\dfrac{1}{113}+\dfrac{1}{117}-\dfrac{1}{119}\right)\ne0=>A=\dfrac{2010}{2011}\)
Gọi biểu thức trên là A, ta có:
\(A = 1^{3} + 2^{3} + 3^{3} + . . . + 10 0^{3}\)
\(A = \frac{10 0^{2} \left(\left(\right. 100 + 1 \left.\right)\right)^{2}}{4}\)
\(A = \frac{10000.10201}{4}\)
\(A = \frac{102010000}{4}\)
\(A = 25502500\)
50800