I’m not sure how many trees you are trying to protect and how you want to go about doing it but...
Of course the fastest way to get rid of the problem is to shoot them.
If that doesn’t work, you might try spreading something like Tanglefoot around the tree trunks of your most valued trees. It’s cheaper if you get it in large quantities.
Here are some remedies others have tried if trapping and relocating hasn’t worked.
https://stoppestinfo.com/418-how-to-get-rid-of-beavers.html#choosing-beaver-repellents-deterrents
Again, the fastest way is to shoot them.
LOL
I always wondered how anyone happened to post to an incorrect thread. Now I know.
No. Do not shoot medical school graduates. LOL Shoot the beavers.