I have three smoke detectors plus another connected to ADT. I changed the batteries in all three, however one will not stop chirping. I tried to just undo the wires but that just set off the ADT smoke dectector. How can I make the chirping stop?

If this is connected to an Alarm Panel, it is totally different than Your typical smoke detectors.
Is it your keypad that is chirping?

Could you give us the make and Part number of the device? There are tricks to changing batteries in wireless smoke detectors.