怎么做1/(1+1.414)+1/(1.414+1.732)+...+1/(1.414+2)

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怎么做1/(1+1.414)+1/(1.414+1.732)+...+1/(1.414+2)怎么做1/(1+1.414)+1/(1.414+1.732)+...+1/(1.414+2)怎么做1/(1+

怎么做1/(1+1.414)+1/(1.414+1.732)+...+1/(1.414+2)
怎么做1/(1+1.414)+1/(1.414+1.732)+...+1/(1.414+2)

怎么做1/(1+1.414)+1/(1.414+1.732)+...+1/(1.414+2)
1/(1+1.414)+1/(1.414+1.732)+1/(1.414+2) =1/(1+√2)+1/(√2+√3)+1/(√3+2) =(√2-1)+(√3-√2)+(2-√3) =2-1 =1