> since it's possible to do operations on them that don't exist for rational numbers, like sqrt or exp This kinda sent me on a spin, for a moment I thought my

> since it's possible to do operations on them that don't exist for rational numbers, like sqrt or exp This kinda sent me on a spin, for a moment I thought my whole life was a lie and these functions don't take rationals as inputs somehow. Then I realized you mean rather that they typically produce non-rationals, so the outputs will be approximated.