Necessary to stop Alpha Particles: athree feet of concrete bthree inches of lead csingle sheet of aluminium foil dsingle sheet f paperNecessary to Stop beta Particle? athree feet of concrete bthree inches of lead cthin peices of wood dsingle sheet of paperMost effective in stopping gamma aseveral cm of lead bone cm of water csingle sheet of alumium foil dsingle sheet of paper
Either the ceiling of the garage needs to be covered with thermal insulation or the floor cavity under the bedrooms needs to be filled with insulating materialPersonally, I would take-up the floor in the bedrooms and fill the gaps with insulating foam sheeting or mineral woolHowever, if you cannot do that then an easier fix is to clad the ceiling of the garage with an high density insulating material.You cab buy this in slabs about 30mm thick which could be fixed to the ceiling by various means - its cheap and relatively easy because you can cut it to size.
alpha is weak so a sheet of paper beta is a little stronger so thin pieces of wood gamma is really strong so (a) but will probably need more