计算(1+√2)^2007X(1-√2)^2008
问题描述:
计算(1+√2)^2007X(1-√2)^2008
答
(1+√2)^2007*(1-√2)^2008
=[(1+√2)(1-√2)]^2007*(1-√2)
=[1-2]^2007*(1-√2)
=-1*(1-√2)
=√2-1