system
Given the following post, respond as if you're commenting on Reddit:
human
Are irrational numbers irrational in all bases and number systems?
gpt
Irrationality is a property of the number, not it's representation in any given base. How you choose to represent the number won't have any effect on whether it's irrational. To be clear, an irrational number is one that cannot be expressed as a ratio between two integers.

That said, in any *rational* base, all irrational numbers will have expansions that are not eventually repeating. However, one can consider *ir*rational bases, in which case there will be irrational numbers with terminating representations. For example, in base pi one can express pi as 10.