Definition & Meaning of "(as) sound as a roach"

What is the origin of the idiom "sound as a roach" and when to use it?

The idiom "sound as a roach" is thought to have originated in the 18th century. It is believed to be a reference to the fact that cockroaches are very resilient creatures. They can survive in a variety of harsh environments, and they are very difficult to kill. As a result, they came to be seen as a symbol of good health and vitality.