A method of cleaning teeth by providing a device for generating a chemical agent in situ on an as-needed basis via the application of an electrical potential across a pair of conductors in communication with an electrolyte. The chemical agents may include ozone, hydrogen peroxide, peroxide, chlorine and/or hypochlorite. The device may include a voltage source and a first set of electrodes for applying an electrical potential to the electrolyte. The device may also include a second set of electrodes disposed about an anode of the first set of electrodes. The first and second sets of anodes cooperate to produce ions, peroxides, ozone and/or other chemical agents via the application of electrical potential to the electrolyte.