|1-√2|+|√2-√3|+|√3-√4|+……+|√2009-√2010|=√2-1+√3-√2+√4-√3+……+√2009-√2008+√2010-√2009=-1+√2010
1-根号2的绝对值+根号2-根号3的绝对值+根号3-2的绝对值=根号2-1+根号3-根号2+2-根号3=2-1=1