[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简

题目

[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简

答案

[（√2-1）^2009][(√2+1)^2010]
={[(√2-1)(√2+1)]^2009}(√2+1)
=√2+1