The majority of dish soaps have petrochemicals in them. Petrochemicals are not made to be ingested by the human body. When you wash dishes in them, I am sure some film from the soap stays on your dishes. The best thing to do is to try and get most of the chemicals out of your life. Chemicals cause cancer.
Natural dish soaps from the health food store are expensive. This is an alternative to store bought natural soaps that you can make yourself and it is very easy! It doesn't produce suds but it will clean your dishes just as well as the stuff in the stores.
Bring 1 1/2 cups of water to a boil
Mix with ~
1 Tablespoon Washing Soda
1 Tablespoon vinegar
1 Tablespoon finely grated soap
Stir until the soap is dissolved. Add a few drops of tea tree oil, lemon essential oil, or whatever you want. You don't need any essential oils if you want it to be without any smell. Tea tree oil is a good germ killer, however.
Set it all in a bowl on the counter and stir it off and on throughout the day. It will get a gel like consistency when it cools down. Put it into a soap dispenser and help save the planet and your health!