比较√2010-√2009与√2008-√2007的大小_数学解答

比较√2010-√2009与√2008-√2007的大小

人气：306 ℃　时间：2019-10-11 00:08:36

解答

1/(√2010-√2009)=(√2010+√2009)/[(√2010+√2009)(√2010-√2009)]=(√2010+√2009)/(2010-2009)=√2010+√2009同理1/(√2008-√20079)=√2008+√2007因为√2010+√2009>√2008+√2007所以1/(√2008-√2007)>1/(...