I don't recall that this is specifically addressed in the novel. However, given that the book universe mostly overlaps with our own (apart from the Eridians, etc.!), we can probably make some assumptions about planetary surface environments in the book.
The main one is that the Earth may be very unusual (certainly within the solar system at least) in having deposits of radioactive substances that can literally be dug up and are active enough that relatively coarse physical effects can be observed (heat, "glow", effects on other substances and, most relevant to this question, damage to biological material) with relatively primitive technology. Whilst many other planets could have levels of radioactivity that are measurable (with modern technology) if they are not strong enough to have influenced biological life in any way then there is no specific reason why even an advanced species would have considered them - except as a scientific curiosity - even if they had observed them.
What is mentioned in the book is the extreme (relative to us) density of their atmosphere which would then completely insulate them from cosmic/space radiation.
I have no particular book source for this, but my impression is that whilst the Eridian technology was very advanced in some ways it seemed quite primitive in others and that, for example, their space technology was really kickstarted by the properties (and problem) of the Astrophage whereas the Human space technology already existed and was just enhanced to interstellar levels by the Astrophage. So it could be that they had no particular practical interest in nuclear physics so, again, would have no reason to suspect that radiation could be an issue.