It has to do with what this radiation actually is.
Alpha radiation is two protons and two neutrons (essentially an He nucleus without any electrons).
Beta radiation is an electron that is not attached to a nucleus.
Gamma radiation is a very high frequency electromagnetic wave (light that is beyond the visible spectrum).
Because Alpha and Beta particles have a net electric charge, they react strongly with the electrical forces of the atom in normal material, and thus stop within those materials rather than passing through largely unimpeded.
Because Gamma is just a form of light, it doesn’t have the electrical charge that Alpha and Beta do, and thus can pass through more stuff before it interacts with something that will stop it.
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