1/(开方2+1)+1/(开方2+开方3)+1/(开方3+开方4)~1/(开方8+开方9)等于?请写上过程.THANK YOU
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1/(开方2+1)+1/(开方2+开方3)+1/(开方3+开方4)~1/(开方8+开方9)等于?请写上过程.THANK YOU
1/(开方2+1)+1/(开方2+开方3)+1/(开方3+开方4)~1/(开方8+开方9)等于?请写上过程.THANK YOU
1/(开方2+1)+1/(开方2+开方3)+1/(开方3+开方4)~1/(开方8+开方9)等于?请写上过程.THANK YOU
1/(√2+1)+1/(√3+√2)+1/(√4+√3)+...+1/(√9+√8) =√2-1+√3-√2+√4-√3+...+√9-√8 =√9-1 =2
先分母有理化,1/【开方n+开方(n+1)】=开方(n+1)- 开方n 根据上边的规律, 原式=3-1=2