I went to the mikvah and checked for hangnails before I went in. I found one and tried as best I could to remove it (didn't have the special hangnail remover so just used a nail clipper). The next morning I found it had gotten worse, and there were a few others (some small, one even so loose I think it later fell off on its own). I'm assuming these hangnails came from cutting my fingernails and so I don't know if maybe I didn't check for them thoroughly enough the night before, or if they just showed up the next day, and halachically if there is anything I need to do (go to mikvah again?)