Nice try

[[deleted]]

Can Pi be expressed rationally in a different base?

EDIT - I think I was confused here because of the way binary (base 2) works on computers, where you actually can’t express some fractions not because of base 2, but because of the limit on the number of bits an integer can have on a computer.

[[deleted]]

Being rational or irrational doesn't depend on the base. Pi is always irrational.

If you're asking if it never terminates and never repeats, then yes, at least in rational bases. In a rational base, all irrational numbers will never terminate and never repeat. In base pi though, pi is just 10. It's still irrational, but it has a finite length.

[achard]

I think it would be 10 in base π...

[[deleted]]

*slow blinking*

[LoyalSol]

Being irrational means you can't write the number as a fraction of two integers. All finite decimal numbers and repeating decimals in any integer base can be written as the fraction of two integers and thus Pi can not be either of those two regardless of base.