Then you must know theres a vast difference between radioactive particles?
I'm just stating theres a big difference between gamma, beta and alpha particles.
Vast? No. Differences? Yes. I once had an almost microscopic piece of Cobalt-60 that had jumped through my clothing and onto my skin. My luck, it was on the last day of work of a refueling cycle at a plant. I had the choice of either staying at the plant until we could find a way to get it off, which usually involves cold shower after cold shower. I had already taken about 10 showers at that point, and wasn't looking forward to more of that. Or I could sign a release and leave, agreeing not to hold the plant responsible for that decision. I chose to leave. I can tell you, even with how comfortable I am working around radiation of all types, it still left an uneasy feeling in my stomach to do that.
I can deeply assure you, all forms of radiation are potentially deadly depending on the amount and length of your exposure. Not to mention, you do not have skin covering your eye balls, mouth, or nose, and wounds are open to the body. A dirty bomb has the ability to fall onto food, drinks, and any other thing you may injest, thus, making your argument of "not being able to go through skin" quite moot.