I cut some roots of my tree (when dividing a perennial), now the roots are sprouting. How to stop that?

I cut some roots by accident on my weeping cherry tree when I was dividing a daylily. The roots are constantly sprouting now, how do i stop that? Thanks!

I cut some roots of my tree (when dividing a perennial), now the roots are sprouting. How to stop that?
I had this occur with a honey locust tree.





I just kept cutting the new shoots to ground level whenever they sprouted. It took a couple of growing seasons and diligence, but eventually the suckers stopped coming up and it didn't harm the tree or other plants planted in the same area.