New iPad asking for Apple ID passwords I don't know

If you set this iPad up from a backup, then it is attempting to load apps that were downloaded with another Apple ID. You would not notice them on the original device unless the app had an update, then it would ask for the password. It may be best to set the iPad up again as new using just your Apple ID and not transferring from a backup. When this happened to me, the pop-ups did go away after cancelling them many times. The more apps that were downloaded with a different Apple ID, the more you will initially see these popups.

have you bought the iPad new or secondhand? If you bought it second hand there is a change that it is not wiped properly and that the previous owners Apple ID was still on there

if it is a new iPad and it is an old Apple ID of yours or your old roommate then there could be some mingling of Apple ID,sIF you have set up the iPad using another apple device. Check on your other devices at settings>your name with which Apple ID you;re logged in to. Check this also at your new iPad.

I hope this can shine some light on the situation!