Preheat grill for high heat.
In a large bowl, mix together the ground beef, cheddar cheese, horseradish, salt, pepper, garlic powder, and bacon bits using your hands.
Shape the mixture into 4 hamburger patties.
Lightly oil the grill grate. Place hamburger patties on the grill, and cook for 5 minutes per side or until well done. Serve on buns.
* Can also be cooked in a skillet.