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Radical conjugates

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  • Subject: [mg129691] Radical conjugates
  • From: Francisco Javier García Capitán <garciacapitan at>
  • Date: Mon, 4 Feb 2013 01:21:57 -0500 (EST)
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Hello, I wanted a function that takes a numerical expression of the form

a + b Sqrt[c]


a Sqrt[b] + c Sqrt[d]

and returns its conjugate, namely a - b Sqrt[c]  and (a Sqrt[b] - c
Sqrt[d]) respectively.

I wrote

RadicalConjugate[x_] := Module[{c},
  c = Cases[x, Power[_]];
  If[Length[c] > 0, x /. c[[1]] -> -c[[1]], x]

and it seems that it works. Anyway, do you have a different approach?

Thank you.

Francisco Javier Garc=EDa Capit=E1n

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