Question

hãy so sánh

\(\sqrt{2005}-\sqrt{2004}\) và \(\sqrt{2004}-\sqrt{2003}\)

 

Answer 1

Ta có : \(\sqrt{2005}-\sqrt{2004}\) ; \(\sqrt{2004}-\sqrt{2003}\)

=> \(\sqrt{2005}>\sqrt{2004}>\sqrt{2003}\)

=> \(\sqrt{2005}-\sqrt{2004}\)> \(\sqrt{2004}-\sqrt{2003}\)

Answer 2

\(\sqrt{2005}-\sqrt{2004}=0.01116778328\)

\(\sqrt{2004}-\sqrt{2003}=0.01117057\)

\(\Rightarrow\sqrt{2005}-\sqrt{2004}>\sqrt{2004}-\sqrt{2003}\)