化简1/√2+1+1/√3+√2+……+1/√10+√9急速

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化简1/√2+1+1/√3+√2+……+1/√10+√9急速

化简1/√2+1+1/√3+√2+……+1/√10+√9急速
化简1/√2+1+1/√3+√2+……+1/√10+√9
急速

化简1/√2+1+1/√3+√2+……+1/√10+√9急速
1/(√2+1)+1/(√3+√2)+……+1/(√10+√9)
=(√2-1)/(2-1)+(√3-√2)/(3-2)+……+(√10-√9)/(10-9)
=√2-1+√3-√2+……+√10-√9
=√10-1

化简:|1-√2|+|√2 -√3|+……+|√99 -√100| 化简1/√2+1+1/√3+√2+……+1/√10+√9急速 化简:(1/2√1+√2)+(1/3√2+2√3)+……+1/100√99+99√100 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 1/1+√2+1/√2+√3+…+1/√2013+√2014= /√1-√2/+/√2-√3/+…+/√99-√100/ 化简√(1-√3/2)/2 0-1/(√1+√0)-1/(√2+√1)-1/(√3+√2)+……+1/(√100-√99) 化简 1) √[(1998*1999*2000*2001+1)/4] 2) 1/(2√1+1√2)+1/(3√2+2√3)+……+1/(100√99+99√100)化简 1) √[(1998*1999*2000*2001+1)/4] 2) 1/(2√1+1√2)+1/(3√2+2√3)+……+1/(100√99+99√100) 化简:√3+1分之1+√5+√3分之1+√7+√5分之1+……+√2n+1+√2n-1分之1 化简1/1+√2+1/√2+√3+...+1/√8+√9 √2+1分之1+√3+√2分之1+√4+√3分之1+……+√2004+√2003分之1=? 化简:1/(2+√2)+1/(3√2+2√3)+1/(4√3+3√4)+…+1/(100√99+99√100)化简:1/(2+√2)+1/(3√2+2√3)+1/(4√3+3*√4)+…+1/(100*√99+99*√100),√代表根号. 1+1/√2+1/√3+……+1/√120的整数部分 化简.√12-√1/2-2√3/25 求1/(√2+1)+1/(√3+√2)+…+1/(√n+√n-1)的值? 化简:[1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1/(10√9+9√10)]化简式子,/是除号,√是根号.怎么化简,还有过程,谢.化简这个式子:[1/(2+√2)]+[1/(3√2+2√3)]+[1/(4√3+3√4)]+……+[1/(10√9+9 2√1/3化简