It's really very simple, the clue is to spread all the force during the retardation phase (landing) on the COMPLETE surface of the egg. In this way, the resulting (vector) forces will be zero. In other words: The forces will "become a pressure" instead. And, since the egg may be compared to a pressure vessel (the surface is curved and can thus take really a lot of pressure before breaking) the egg will not break if you put it in strong bottle filled with water before dropping it!
This is the classical solution to the problem. I have never worked it out myself but it should work as long as the bottle itself is strong enough (do a test by dropping the bottle filled with just water before doing the test in front of an audience).
center the egg in a nylon stocking.
stretch stocking tight from each end.
pinch off stocking several inches from each end of egg with rubber bands. (so egg can slide a bit if impact is in axis of stocking)
attach stretched ends of stocking to opposing diagonal corners of a large cardboard box.
close box with tape and drop.
參考資料
http://www.picotech.com/experiments/dropping_egg/dropping_eggs.html