先观察下列式子化简的过程:根号2+1分之1=(根号2+1)(根号2-1)分之根号2-1=根号2-1,

2024-12-05 07:20:38
推荐回答(1个)
回答(1):

原式=(√2-1+√3-√2+√4-√3+……+√2009-√2008)(√2009+1)
=(-1+√2009)(√2009+1)
=(√2009-1)(√2009+1)
=2009-1
=2008