√a-1+√b-2=0
a=1,b=2
1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)
=1/2+1/2*3+1/3*4+1/4*5+...+1/2009*2010
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010
=2009/2010
√a-1+√b-2=0
a=1,b=2
1/ab+1/(a+b)(b+1)+1/(a+2)(b+2)+.+1/(a+2008)(b+2008)
=1/2+1/2*3+1/3*4+1/4*5+...+1/2009*2010
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010
=2009/2010