rn On the off chance that its not without a doubt inconvenience direct your specialist before taking any remedy. Dull Name: tobramycin and dexamethasone Tobradex contains a solidification of tobramycin and dexamethasone. Tobramycin is an against microbial. It is used to treat bacterial defilements. Dexamethasone is a steroid. Dexamethasone ophthalmic is used to treat the swelling associated with bacterial ailments of the eye.