ta có
(2011+1)+(2013-1)
=(2012-1)
vì (2012-1)<20122
=>2011x2013<20122
Ta có :
2011 . 2013
= 2011 . ( 2012 + 1 )
= 2011 . 2012 + 2011 . 1
20122
= 2012 . 2012
= ( 2011 + 1 ) . 2012
= 2011 . 2012 + 2012 . 1
Ta thấy : 2011 . 1 < 2012 . 1 nên 2011 . 2012 + 2011 . 1 < 2011 . 2012 + 2012 . 1
Vậy : 2011 . 2013 < 20122