Gọi 1/4 số a là 0,25 . Ta có :
a . 3 - a . 0,25 = 147,07
a . (3 - 0,25) = 147,07 ( 1 số nhân 1 hiệu )
a . 2,75 = 147,07
a = 147,07 : 2,75
a = 53,48
Tính \(\sqrt[2013]{2012\sqrt[2012]{2011\sqrt[2011]{2010.....\sqrt[1994]{1993\sqrt[1993]{1992}}}}}\)
So sánh \(\sqrt{1991}+\sqrt{1993}\) với \(2\sqrt{1992}\)
So sánh hai số
\(\sqrt{1991}\)+ \(\sqrt{1993}\)với \(2\sqrt{1992}\)
Các số thực x, y, z thỏa mãn:
\(\hept{\begin{cases}\sqrt{x+2011}+\sqrt{y+2012}+\sqrt{z+2013}=\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}\\\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}=\sqrt{z+2011}+\sqrt{x+2012}+\sqrt{y+2013}\end{cases}}\)
CMR: \(x=y=z\)
Cho \(x,y,z\) thỏa mãn
\(\hept{\begin{cases}\sqrt{x+2011}+\sqrt{y+2012}+\sqrt{z+2013}=\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}\\\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}=\sqrt{z+2011}+\sqrt{x+2012}+\sqrt{y+2013}\end{cases}}\)
CMR: \(x=y=z\)
\(S=\sqrt{1+2010^2+\frac{2010^2}{2011^2}}+\frac{2010}{2011}+\sqrt{1+2011^2+\frac{2011^2}{2012^2}}+\frac{2011}{2012}+\sqrt{1+2012^2+\frac{2012^2}{2013^2}}+\frac{2012}{2013}\)
Cho \(\sqrt{x+2011}+\sqrt{y+2012}+\sqrt{z+2013}\)\(=\sqrt{y+2011}+\sqrt{z+2012}+\sqrt{x+2013}\)\(=\sqrt{z+2011}+\sqrt{x+2012}+\sqrt{y+2013}\)
Chứng minh: \(x=y=z.\)
So sánh
\(\sqrt{1991}\)+ \(\sqrt{1993}\)= A
2.\(\sqrt{1992}\) = B
cho A và B hãy so sánh
\(A=\sqrt{2012}-\sqrt{2011};B=\sqrt{2013}-\sqrt{2012}\)
