If the root doesn't come out, you take the risk of it abcessing which odds are it will. The one that he lost when you were playing with him probably didn't leave the root because it more than likely didn't break or rot and if it did, it also needs the root removed or it will also cause problems. The one that just fell out, there may be nerve exposed if it cracked off and will cause discomfort too. I would definately have the dental done.
Good Luck!
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Good Luck &
Best Fishes
