a) Đặt A= \(\dfrac{1}{3}+\dfrac{1}{6}+...+\dfrac{1}{36}\)

\(\dfrac{1}{2}\)A=\(\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{72}\)

\(\dfrac{1}{2}\)A=\(\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{8.9}\)

\(\dfrac{1}{2}\)A=\(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{8}-\dfrac{1}{9}\)

\(\dfrac{1}{2}\)A=\(\dfrac{1}{2}-\dfrac{1}{9}\)

\(\dfrac{1}{2}\)A=\(\dfrac{7}{18}\)

A=\(\dfrac{7}{9}\)

=0,(428571)

HOK TỐT

=0,(428571)

Chúc bạn học tốt nhé các bạn

Bạn Nguyễn Đức Phát chơi dơ nha

Ta có:\(\frac{x+21}{1998}-\frac{x+25}{1994}+\frac{x+63}{652}-\frac{x+75}{648}=0\)

\(\Rightarrow\frac{x+21}{1998}-\frac{x+25}{1994}+\frac{x+63}{652}-\frac{x+75}{648}+4-4=0\)

\(\Rightarrow\frac{x+21}{1998}+1-\frac{x+25}{1994}-1+\frac{x+63}{652}+3-\frac{x+75}{648}-3=0\)

\(\Rightarrow\frac{x+2019}{1998}-\frac{x+2019}{1994}-\frac{x+2019}{652}+\frac{x+2019}{648}=0\)

\(\Rightarrow\left(x+2019\right)\times\left(\frac{1}{1998}-\frac{1}{1994}+\frac{1}{652}-\frac{1}{648}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x+2019=0\\\frac{1}{1998}-\frac{1}{1994}+\frac{1}{652}-\frac{1}{648}=0\end{cases}}\)  

Vì \(\frac{1}{1998}-\frac{1}{1994}+\frac{1}{652}-\frac{1}{648}\ne0\)

\(\Rightarrow x+2019=0\)

\(\Rightarrow x=-2019\)

Vậy \(x=-2019\)

cảm ơn bạn nhiều nghen

x = 3

y = 4

vì 21 / 28 = 21 : 7 / 28 : 7 = 3 / 4

cái này là mình rút gọn 

x = 7 và y =8 nha

\(A=\dfrac{2x-4\sqrt{x}+2-\left(2\sqrt{x}-1\right)\left(\sqrt{x}-2\right)}{x-4}\cdot\dfrac{\sqrt{x}-2}{\sqrt{x}}\)

\(=\dfrac{2x-4\sqrt{x}+2-2x+4\sqrt{x}+\sqrt{x}-2}{\sqrt{x}+2}\cdot\dfrac{1}{\sqrt{x}}\)

\(=\dfrac{1}{\sqrt{x}+2}\)

=14/15*20/21*...*209/210

\(=\dfrac{4\cdot7}{5\cdot6}\cdot\dfrac{5\cdot8}{6\cdot7}\cdot...\cdot\dfrac{19\cdot22}{20\cdot21}\)

\(=\dfrac{4\cdot5\cdot6\cdot...\cdot19}{5\cdot6\cdot7\cdot...\cdot20}\cdot\dfrac{7\cdot8\cdot9\cdot...\cdot22}{6\cdot7\cdot8\cdot...\cdot21}=\dfrac{11}{15}\)