The answer to a cockroach invasion is to identify and address the root causes, then use a combination of prevention and targeted treatment. Cockroaches are attracted to food, water, and shelter, so eliminating these attractants is key. Start by thoroughly cleaning the home, sealing up cracks and crevices, and removing any standing water. You can also use baits, traps, and targeted insecticide applications to eliminate the existing population.
However, if the infestation is severe or persistent, it's best to call in a professional pest control technician. They have access to more powerful treatment options and can develop a comprehensive plan to fully eliminate the cockroaches and prevent future infestations.