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An algorithm to extract the square root in radicals from a multivector (MV)in real Clifford algebras Cl(p,q) for n=p+q <=3 is presented. We show that inthe algebras Cl(3,0), Cl(1,2) and Cl(0,3) there are up to four isolated rootsin a case of the most general (generic) MV. The algebra Cl(2,1) makes up anexception and the MV here can have up to 16 isolated roots. In addition toisolated roots, a continuum of roots can appear in all algebras except p+q=1. Anumber of examples are provided to illustrate properties of various roots thatmay appear in n=3 Clifford algebras.

Square root of a multivector of Clifford algebras in 3D: A game with signs