In reply to JLS:
I think they use multiplying rather than adding because it makes one mistake less damaging. It you get first and 30th, that gives you sqrt(30)=5-and-a-bit which is better than someone who is 6th and 6th (sqrt(36)=6). If you average, you get 15.5 points which is far worse than someone who gets 6th and 6th.
It also means that there's more separation in the scores as there are fewer combinations of scores that come out with the same result. Adding, you get the same score for e.g 26+26, 25+27, 24+28 etc etc. For multiplying these all give different scores.