Question

A = \(\sqrt{2013}-\sqrt{2012}\)

B = \(\sqrt{2014}-\sqrt{2013}\)

So sánh A và B

Answer 1

ta có A+B 

=\(\sqrt{2013}-\sqrt{2012}+\sqrt{2014}-\sqrt{2013}\)         =\(-\sqrt{2012}+\sqrt{2014}\)      (1)

vì (1)>0 nên A+B>0 hay A>B

Answer 2

A=\(\sqrt{2013}\)- \(\sqrt{2012}\) =\(\frac{1}{\sqrt{2013}+\sqrt{2012}}\)

B=\(\sqrt{2014}-\sqrt{2013}=\frac{1}{\sqrt{2014}+\sqrt{2013}}\)

sao sanh \(A=\frac{1}{\sqrt{2013}+\sqrt{2012}}>\frac{1}{\sqrt{2014}+\sqrt{2013}}\)

h cho minh nhieu nha