  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 in
the algebras Cl(3,0), Cl(1,2) and Cl(0,3) there are up to four isolated roots
in a case of the most general (generic) MV. The algebra Cl(2,1) makes up an
exception and the MV here can have up to 16 isolated roots. In addition to
isolated roots, a continuum of roots can appear in all algebras except p+q=1. A
number of examples are provided to illustrate properties of various roots that
may appear in n=3 Clifford algebras.
