[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简

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[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简[(√2-1)

[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简
[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简

[(√2-1)∧2009]*[(√2+1)∧2010]怎么化简
[(√2-1)^2009][(√2+1)^2010]
={[(√2-1)(√2+1)]^2009}(√2+1)
=√2+1

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