The REAL NANO SUIT... or its very close relative in real life:
DEMRON FULL BODY SUIT
http://www.radshield.com/product_page_d ... 27&Search=
This is the top military grade Anti-radiation (for radiological and nuclear radiation) which US military and others currently use, which is also available for civilian use -if you can afford it, of course. Not only does it provide protection against alpha and beta rays, it also provides a certain level of protection against the gamma rays, which goes through pretty much everything other than thick concrete and lead walls.
It says: "The suit is an excellent shield of high-energy beta particles, such as those emitted from Strontium-90, and provides at least 50% shielding of gamma rays up to 130 Kev."
This is a subject I think 3040Krag is highly qualified to elaborate on.