Check Equality

*To*: mathgroup at smc.vnet.net*Subject*: [mg24952] Check Equality*From*: "Hu Zhe" <huzhe at public3.sta.net.cn>*Date*: Fri, 25 Aug 2000 00:02:25 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

I remember someone once asked about checking the equality of equations like, Sqrt(5-2*Sqrt(6))=Sqrt(3)-Sqrt(2) in Mathemaica. "FullSimplify[]" is a good solution. After reading Edward R. Scheinerman's article "When Close Enough Is Close Enough" published on American Math Monthly June-July 2000, I know how to check equality "manually" if FullSimplify happens to fail. I implement a function in Mathematica according to Scheinerman's theory. I recommend you read his original paper if possible. Or ask me to send you a Notebook for details, if you are interested in this subject. (I don't know if it is a good practice to send a message with attachment files, otherwise I would have attached my notebook with this email.) By the way, I don't know how FullSimplify[] checks equality. Hope some experts may divulge this secret.