计算(7-5√2)^2010*(7+5√2)^2011等于多少?

问题描述:

计算(7-5√2)^2010*(7+5√2)^2011等于多少?

(7-5√2)^2010*(7+5√2)^2011
=(7-5√2)^2010*(7+5√2)^2010*(7+5√2)
=[(7-5√2)*(7+5√2)]^2010*(7+5√2)
=(49-50)^2010*(7+5√2)
=7+5√2