How far is the star rho from earth?

Rho (ρ) is a designation used for various stars in different constellations, so its distance from Earth varies depending on which star you are referring to. For example, Rho Cassiopeiae is approximately 11,000 light-years away, while Rho Cancri is about 40 light-years distant. If you specify a particular star, I can provide a more precise distance.