
计算 (√5+2)^2009×(√5-2)^2008-√20结果为?
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(√5+2)^2009×(√5-2)^2008-√20
=(√5+2)^2008×(√5-2)^2008×(√5+2)-√20
=[(√5+2)(√5-2)]^2008×(√5+2)-√20
=(5-4)^2008×(√5+2)-√20
=√5+2-√20
=(√5+2)^2008×(√5-2)^2008×(√5+2)-√20
=[(√5+2)(√5-2)]^2008×(√5+2)-√20
=(5-4)^2008×(√5+2)-√20
=√5+2-√20
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