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数学
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计算1/(1+根号2)+1/(根号2+根号3)+……+1/(根号99+根号100)
人气:271 ℃ 时间:2019-09-04 07:40:11
解答
1/(1+根号2)+1/(根号2+根号3)+……+1/(根号99+根号100)
=(√2-1)+(√3-√2)+.+(√100-√99)
=10-1
=9
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