计算(√2+1)^2012*(3-2√2)^1006

问题描述:

计算(√2+1)^2012*(3-2√2)^1006

(√2+1)^2012*(3-2√2)^1006
=(3+2√2)^1006*(3-2√2)^1006
=[(3+2√2)×(3-2√2)]^1006
=1