To the weighed Sobolev-Hardy inequality containing a positive constant Cthe main obstacle is that the method used to the case β=0does not works anywhere when β≠0.That is to saywhen β=0the method of Schwarz symmetrization can be employedbut there is no reason to believe that the Schwarz symmetrization still diminishes the weighed L p -gradient or increases the weighed L p∗-norm of a function.So another approach must be found to the Sobolev-Hardy inequality.In this paperby Bliss lemmait is proved that there exists a best constant C such that the weighed Sobolev-Hardy inequality is right.