Question

根号下2011*2012*2013*2014+1怎么化简

Answer 1

设x=2012.5

根号下的式子为=(x-3/2)(x-1/2)(x+1/2)(x+3/2)+1

=(x^2-9/4)(x^2-1/4)+1

=x^4-5/2x^2+25/16

=(x^2-5/4)^2

开根号=x^2-5/4

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