Suckers / ground shoots

Any way to keep these nasty tree suckers/shoots from coming back? It's alot of work to trim them down, and it seems like they're a foot tall again in just a couple weeks.
We have lots of trees!
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Instead of cutting them down, pull up the root that they're coming from. A lot of times, they're from very shallow surface roots that aren't too hard to pull.
steve
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