  In this note we prove that the Hamilton-Jacobi equation in the background of
the recently discovered charged Kerr-AdS black hole of D=5 minimal gauged
supergravity is separable, for arbitrary values of the two rotation parameters.
This allows us to write down an irreducible Killing tensor for the spacetime.
As a result we also show that the Klein-Gordon equation in this background is
separable. We also consider the Dirac equation in this background in the
special case of equal rotation parameters and show it has separable solutions.
Finally we discuss the near-horizon geometry of the supersymmetric limit of the
black hole.
