A note about your choice of the word "even" - Alpha radiation will kill you a lot more effectively than Gamma when it's inside you. This is for the same reason

A note about your choice of the word "even" - Alpha radiation will kill you a lot more effectively than Gamma when it's inside you. This is for the same reason it's not damaging outside - Alpha radiation doesn't travel very far before being absorbed. When held close to skin, the majority is absorbed by the top layers of flesh and only a small amount will penetrate deeper. Conversely, when inside you, only a small amount will escape your body.