1/(√3+1)+1/(√5+√3)+1/(√7+√5)+.+1/√2n+1+√2n+1怎么化简

题目详情

▼优质解答

答案和解析

1/(√3+1)+1/(√5+√3)+1/(√7+√5)+.+1/√2n+1+√2n-1
=（√3-1+√5-√3+√7-√5+……+(√2n+1)-√(2n-1））/2
=（√(2n+1)-1)/2

看了 1/(√3+1)+1/(√5...的网友还看了以下：