You broke a plug trying to remove it what is the best way to get it out?

Usually if you break a plug it is only the top white ceramic part. The only time this would be a problem is if your plugs are in the top of the head and down in a hole. They do make needle nose pliers long enough to reach down and get the plug. The ceramic part should have come out with the socket if using a regular spark plug socket. That would leave just the base. Take the socket and put a piece of tape on the inside of the socket on each face. Bring it out over the edge of the socket and onto the outside. This will make the socket enough smaller that it should hold on to the base of the spark plug so you can get it out.