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
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![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](/uploads/image/z/956287-55-7.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9A%5B1%2F%EF%BC%882%2B%E2%88%9A2%EF%BC%89%5D%2B%5B1%2F%283%E2%88%9A2%29%5D%2B%5B1%2F%284%E2%88%9A3%2B3%E2%88%9A4%5D%2B%E2%80%A6%E2%80%A6%2B%5B1%2F10%E2%88%9A9%2B9%E2%88%9A10%5D%E5%8C%96%E7%AE%80%E8%BF%99%E4%B8%AA%E5%BC%8F%2C%2F%E6%98%AF%E9%99%A4%E5%8F%B7%2C%E2%88%9A%E6%98%AF%E6%A0%B9%E5%8F%B7%5B1%2F%EF%BC%882%2B%E2%88%9A2%EF%BC%89%5D%2B%5B1%2F%283%E2%88%9A2%29%5D%2B%5B1%2F%284%E2%88%9A3%2B3%E2%88%9A4%5D%2B%E2%80%A6%E2%80%A6%2B%5B1%2F10%E2%88%9A9%2B9%E2%88%9A10%5D%5B1%2F%EF%BC%882%2B%E2%88%9A2%EF%BC%89%5D%2B%5B1%2F%283%E2%88%9A2%2B2%E2%88%9A3%29%5D%2B%5B1%2F%284%E2%88%9A3%2B3%E2%88%9A4%29%5D%2B%E2%80%A6%E2%80%A6%2B%5B1)
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