Colonizing the Moons

Logistics aside, would it really be possible to colonize the moons of the gas giants?

It's my understanding that planets tend to have radiation belts around them.  Would the massive radiation from a planet like Jupiter make it impossible to live on its moons or are some of them outside this belt?  Or could people just live in protected domes of some sort?

>>20
And you are extremely stupid if you don't understand my point, so let's try this slowly and loudly:

Our uranium deposits won't become that difficult to mine for A BILLION YEARS. Yes, with current trends, in a billion years we will run low and costs will skyrocket. You're a fucking genius, there, are you happy?

Even though it's much more difficult to mine than coal or oil, the cost of the nuclear plants themselves are currently astronomical in comparison, and will continue to be that way for tens of thousands of years; by this time nuclear fission will be long have been replaced by a more economical power source such as nuclear fusion. The cost of mining uranium will never, ever become an issue. It will always be abundant for as long as it is needed, and going to the moons to get it is sheer lunacy.