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?

>>12
And? You're telling me this is somehow less accessible than one of Jupiter's moons? Guess what genius, 1 part per million 500 metres underground IS an abundance of uranium.

"It has been estimated that there is anywhere from 10,000 to five billion years worth of uranium-238 [on Earth] for use in [fast breeder] power plants [22]."
http://en.wikipedia.org/wiki/Nuclear_power