(1\(3+根号3))+(1\(5根号3+3根号5))+(1\(7根号5+5根号7))+…………+1\(49根号47+47根号49_数学解答

(1\(3+根号3))+(1\(5根号3+3根号5))+(1\(7根号5+5根号7))+…………+1\(49根号47+47根号49))
求答案+解法`````

人气：414 ℃　时间：2020-04-10 00:50:59

解答

(1/(3+根号3)) = (1/(1*3*2))*(3-根号3)(1/(5根号3+3根号5))= (1/(3*5*2))*(5根号3-3根号5)(1/(7根号5+5根号7))= (1/(5*7*2))*(7根号5-5根号7)………… (1/(49根号47+47根号49))= (1/(47*49*2))*(49根号47...