There’s a difference between solar radiation and nuclear radiation. Solar radiation is often intense UV and infrared light. These forms of radiation are harmful, but can be blocked. Nuclear radiation, on the other hand, includes gamma rays, beta rays, alpha rays, x-rays, and the neutron. Beta rays and Alpha rays pose no problem. The clothes that I am wearing right now could most likely block them. X-rays are dangerous, and can be stopped by lead. Neutrons are much harder to stop, and are the most dangerous form of radiation. If neutrons are absorbed by atoms in my body, it will turn those atoms radioactive. This can damage my cells from the inside out. Gamma rays (a type of very high frequency light) are the most powerful. A solid wall of cement 100 yards thick will stop only half of them. Any particle that these photons knock into could possibly become highly energized from the event. The only reason that these are not as deadly as neutrons is that there is a large chance that they will fly right through your body without interacting. So no, space suits do not work to shield neutrons and gamma rays.