关于一道求和题,1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉

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关于一道求和题,1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉关于一道求和题,1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉关于

关于一道求和题,1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉
关于一道求和题,
1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉

关于一道求和题,1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉
1/(1+√2)+1/(√2+√3)+````````+1/〈√n+√(n+1)〉
=(√2-1)+(√3-√2)+...+(√(n+1)-√n)
=√(n+1)-1