(根号2+1)^2013(根号2-1)^2012

问题描述:

(根号2+1)^2013(根号2-1)^2012

原式
=(√2+1)^2012x(√2+1)x(√2-1)^2012
=(√2+1)^2012x(√2-1)^2012x(√2+1)
=[(√2+1)(√2-1)]^2012x(√2+1)
=(2-1)^2012x(√2+1)
=1x(√2+1)
=√2+1