To clean terrazzo floors, treat them much like you would marble, even if there’s no marble in the aggregate. Avoid abrasive cleaners that can scratch the polished surface. Also, don’t use acidic cleaners like vinegar that can damage the surface. Use plain water or a neutral cleaner to mop the floor. Then, use a wet vac or squeegee to remove the dirty water. Regular buffing with a soft cloth can help maintain the shine.