计算:1/(1+根号2)+1/(根号2+根号3)+1/(根号3+根号4)+.+1/(根号99+根号100)

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计算:1/(1+根号2)+1/(根号2+根号3)+1/(根号3+根号4)+.+1/(根号99+根号100)
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计算:1/(1+根号2)+1/(根号2+根号3)+1/(根号3+根号4)+.+1/(根号99+根号100)
计算:1/(1+根号2)+1/(根号2+根号3)+1/(根号3+根号4)+.+1/(根号99+根号100)

计算:1/(1+根号2)+1/(根号2+根号3)+1/(根号3+根号4)+.+1/(根号99+根号100)
1/(1+根号2)+1/(根号2+根号3)+1/(根号3+根号4)+.+1/(根号99+根号100)
=√2-1+√3-√2+√4-√3+.+√100-√99
=√100-1
=10-1
=9