Many textbooks and online sources give the relative permittivity of water as about 80 and the refractive index as 1.33. If you use the definition of refractive index to find the speed of light in water, you will find v = c/n ~ 2.56e8 m/s. However, if you use the equation to find the speed of light in a medium, c = 1/sqrt(permittivity*permeability), you will find c ~ 0.335e8 m/s, which is off from the former calculation by a factor of 10. I tried to find the complex permittivity of water, but because the conductivity of water is relatively low, the imaginary portion of the permittivity will be small, and thus I am lost. Did I do something wrong or is there another explanation to this discrepancy?