Those beasts are extremely hard to take out, even with sh*tloads of missiles directed at them, their anti-missile screens can take out a lot.
We once in a wargame simulation took out one (there is a ENN video of the attack at http://enn.electronicnewsnetwork.com...r/ENN-GT-9.php
, to read the story click on the carrier, to see the vid click to the right of it), but it took the whole Northern Fleet of the Russians bound into a combined arms effort and many other factors had to be favorable (e.g. we attacked in a heavy storm where the carrier could only muster limited fighter support, etc). I recall that we needed enormous amounts of misslie waves to just get through...
I still have the sitrep of that event somewhere (but cannot find it currently, though it is also on the first of those pages, just read through all the sitreps of JAN 2, scroll down to sitreps section) where you can read the details and numbers to see how difficult such an endeavor is: http://www.tacopshq.com/MBX/Globalth...TheaterHQ.html
Here the according maps (partially) http://www.tacopshq.com/MBX/Globalth...redtheater.htm http://www.tacopshq.com/MBX/Globalth...plot-red-8.GIF