观察下列各式 1/(2^0.5+1)=2^0.5-1,1/(3^0.5+2^0.5)=3^0.5-2^0.5,1/(4^
观察下列各式 1/(2^0.5+1)=2^0.5-1,1/(3^0.5+2^0.5)=3^0.5-2^0.5,1/(4^0.5+3^0.5)=4^0.5-3^0.5,1/(5^0.5+4^0.5)=5^0.5-4^0.5,……从计算中找出规律,并用该规律计算
(1/(2^0.5+1)+1/(3^0.5+2^0.5)+1/(4^0.5+3^0.5)+……+1/(2010^0.5+2009^0.5))(2010^0.5+1)