Definition:Linearly Irrational Number

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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 $\left\{{x \in \R \setminus \Q : x^2 \in \Q}\right\}$.


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.