There's a bunch of WRONG ways to pull this off, so make sure to watch the video to hear them all explained: no using other fingers, no balancing the corks, no pulling them out one at a time, etc... the real trick is to over-rotate your right hand, and place the bottom side of your right thumb on the bottom of the cork (see the video for details), after that, place all your remaining fingers as described in the video, and you'll have an unusual grasp on both of the corks that will LOOK like they're inter-linked, but you'll be able to pull them straight out from one another. The effect to most people will be that you somehow just pulled the corks straight through one another!

This is the part where you clean up: offer to show them how it's done for a drink. Demonstrate slowly how its done, and then let them try to copy you. When they can't pull it off, offer them ANOTHER lesson... for another free drink!