大师作文网1/(2根号1+1根号2)+1/(3根号2+2根号3)+.+1/(100根号99+99根号100)
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/18 23:19:18
1/(2根号1+1根号2)+1/(3根号2+2根号3)+.+1/(100根号99+99根号100)
1/(2根号1+1根号2)
=(2根号1-1根号2)/(4-2)
=根号1-(根号2)/2
1/(3根号2+2根号3)
=(3根号2-2根号3)/(18-12)
=(根号2)/2-(根号3)/3
1/(2根号1+1根号2)+1/(3根号2+2根号3)+.+1/(100根号99+99根号100)
=根号1-(根号)/2+(根号)/2-(根号3)/3+(根号)/3-...+(根号99)/99-(根号100)/100
=根号1-(根号100)/100
=1-1/10
=9/10
=(2根号1-1根号2)/(4-2)
=根号1-(根号2)/2
1/(3根号2+2根号3)
=(3根号2-2根号3)/(18-12)
=(根号2)/2-(根号3)/3
1/(2根号1+1根号2)+1/(3根号2+2根号3)+.+1/(100根号99+99根号100)
=根号1-(根号)/2+(根号)/2-(根号3)/3+(根号)/3-...+(根号99)/99-(根号100)/100
=根号1-(根号100)/100
=1-1/10
=9/10
化简：|1-根号2|+|根号2-根号3|+|根号3-根号4|+.+|根号99-根号100|
|1-根号2|+|根号2-根号3|+|根号3-根号4|+...+|根号99-根号100|
根号1+根号2分之一+根号2+根号3分之一+...根号99+根号100
化简|1-根号2|+|根号2-根号3|+|根号3-根号4|+···+|根号99-根号100|
化简1/1+根号2 +1/根号2+根号3 +.+1/根号99+根号100
计算:/1-根号2/+/根号3-根号2/+/根号3-根号4/./根号2009-根号2010/
化简：|1-根号2|+|根号2-根号3|+|根号3-根号4|+.+|根号2011-根号2012|
1/1+根号2+1/根号2+根号3+1/根号3+根号4+.+1/根号98+根号99=
(1+根号2+根号3)(1+根号2-根号3)
|根号6 - 根号2|+|根号2 - 1 | - |3-根号6|
根号3分之根号12×根号2-根号1/2
计算：根号18×根号1/2-根号12/根号3