It is true that a cockroach can live without a head?

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Inexpensive supports multiple slipper (chitin housing is superdura) and can regenerate legs torn off in a few days. Not to mention that some species bear spend more than half an hour underwater. Paleontological research indicate that the ancestors of cockroaches have inhabited our planet for over 300 million years. Today there are more than 3500 species worldwide, reproducing itself at an enormous rate: a couple of cockroaches can generate up to 100,000 offspring in one year! Why is this so difficult to get rid of them.