化简:[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10]化简这个式,/是除号,√是根号[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10][1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 04:43:14
化简:[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10]化简这个式,/是除号,√是根号[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10][1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1

化简:[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10]化简这个式,/是除号,√是根号[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10][1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1
化简:[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10]
化简这个式,/是除号,√是根号
[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10]
[1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1/(10√9+9√10)]
这个才是正规的,对不起,还漏了一些数!后面一些忘记加小括号了

化简:[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10]化简这个式,/是除号,√是根号[1/(2+√2)]+[1/(3√2)]+[1/(4√3+3√4]+……+[1/10√9+9√10][1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1
原式=(2-√2)/[(2+√2)(2-√2)]+(3√2-2√3)/[(3√2+2√3)(3√2-2√3)]+(4√3-3√4)/[(4√3+3√4)(4√3-3√4)]+……+(10√9-9√10)/[(10√9+9√10)(10√9-9√10)]
=(2-√2)/(4-2)+(3√2-2√3)/(18-12)+(4√3-3√4)/(48-36)+……+(10√9-9√10)/(900-810)
=(2-√2)/2+(3√2-2√3)/6+(4√3-6)/12+……+(30-9√10)/90
=1-√2/2+√2/2-√3/3+√3/3-1/2+……+1/3-√10/10
=1-√10/10
=(10-√10)/10

123

不会0 0