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Who first described the technique of removing radicals as indicated in the answers to questions Tools for Removing Radicals from Equations and Rewrite sum of radicals equation as polynomial equation ?

When has it been described the first time and, what was the motivation? Was it actually an equation that involved square roots etc., or, has it been described as a proof, that equations involving radicals can be converted to polynomial equations?

I have already done a lot of online research without success; therefore I hope for answers from the MO community, even if the answers may be wellknown to experts in the field.

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I don't really have an answer (hence the comment), but for some publications that are possibly worth looking at, see some of the older references I cite at the very end of this 16 November 2010 ap-calculus at Math Forum and see the references I give in my answer to the math StackExchange question History of the theory of equations: John Colson. –  Dave L Renfro Aug 18 at 17:03
    
@DaveLRenfro thanks for the pointers to further information; that is more than I hoped for. –  Manfred Weis Aug 19 at 5:44

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