You’ll have to first define the kind of radiation. Some forms are less energetic than others. Cell phones and microwaves emit types of “radiation”
The high energy nuclear kind of radiation is more like a tiny bullet. Evolving to resist that kind of radiation seems unlikely, as stopping it requires significant shielding. And if living tissue is exposed to it, irreparable damage will occur.
The low energy kind is mainly hazardous when ingested. And if we are supposedly exposed to this kind of radiation regularly and early in life (in this evolution scenario) we’d have to assume it becomes ingested normally. The main risk associated with this is cancer. I’m not actually sure about evolving to resist that kind of exposure. We’d have to evolve mechanisms to prevent cancer basically. We are not simple organisms, so that kind of evolution might be complicated if not impossible.
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