Just to add to Anubhava's excellent answerAnubhava's excellent answer:
You could use {} as well, like this:
su root -c "{ tcpdump -i wlan0 -s 1500 -w CCCCCC & }; ls -lh"
{} is a little more efficient than () in that it doesn't create a sub shell. {} does need a space after { and a ; before } unless we have an & already.