I have an issue with the posts which say that's it's 'no problem' IF you buy this and that………obviously missing the point of the post. Radiation is no problem if you buy this and that as well.
It's not a if you buy this or that, it is playing it smart when you use your tools or do a job. Do you use an aluminum ladder when working on electrical outlets? No, you use a fiberglass ladder (different tool) for the job. Just like cameras, you have different tools for different jobs
I have YET to have a camera or lens ruined by bad conditions I have been shooting in because I own tools that aid me in shooting in those conditions. Rain today and I have to shoot some kayaking? No problem Rain cover up and shoot. Suuuuuper hot and very sunny, I toss an umbrella onto my TTP speedbelt so I can work in the shade and keep my gear cool. Burning man? I use the same gear as I use at a color run, and that dust is MUCH more damaging to camera gear and your lungs.
Radiation is no different. You wear a lead lined suit (tool) for the job and take proper precautions for what you will be doing.
A underwater housing would probably help here.
They are great, just don't use water to clean the casing off, compressed air works wonders. My friend cleaned his with water and it turns into a slimy multicolored mess and clogs up the buttons on your housing and leaves a weird film you need to scrub off.