1/根号3+1+1/根号5+根号3+1/根号7+根号5……1/根号2n+1+根号2n-1
=(1/2)[√3-1+√5-√3+√7-√5+……+√（2n+1）-√(2n-1)]
=(1/2)(√（2n+1）-1)
,把2n=2010带入即可