Definition:Linearly Irrational Number

From ProofWiki
Jump to navigation Jump to search

Definition

A number is linearly irrational if both the number itself is irrational but its square is rational.


Thus, the set of the linearly irrational numbers is $\left\{{x \in \R \setminus \Q : x^2 \in \Q}\right\}$.


Notes

This page uses terminologies invented by $\mathsf{Pr} \infty \mathsf{fWiki}$, which are not expected to be seen outside $\mathsf{Pr} \infty \mathsf{fWiki}$, namely: linearly irrational.