Remove sprouts from roots, cutting them off as close to the ground as possible with pruning shears. Check for sprouts growing away from the house foundation, such as in garden borders and lawns, and remove them. Check for and remove new shoots every month through the growing season and for as long as they appear. Roots without shoots to sustain them eventually starve and die.
Remove as much root as possible and cover the remaining stumps with soil. Water the area regularly so that the soil stays moist to promote rotting.
Cover the ground around the house foundation with black plastic in early spring. Weigh it down with stones or bricks and leave it in place throughout the growing season. Remove any shoots that appear from beneath the plastic. Remove the plastic at the start of winter. Cover the ground with plastic for another growing season if new shoots appear.
Spray sprouts from roots when they're actively growing, with a 2 percent triclopyr and 18 percent glyphosate herbicide diluted at a rate of 6 fluid ounces per gallon of water, or according to the manufacturer's instructions. Cover all parts of the shoot. Spray again after four weeks if there are signs of regrowth.
Cut stumps off at soil level and drill holes 1/2 inch deep and 1/4 inch wide, just inside the bark. A 1-foot-diameter stump requires four or five holes. Pour undiluted 2 percent triclopyr and 18 percent glyphosate herbicide into the holes until full.