Definition:Squarely Irrational Number

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Definition

A number $n$ is squarely irrational if and only if both $n$ and its square are irrational.


Thus, the set of the squarely irrational numbers is:

$\set {x \in \R \setminus \Q : x^2 \in \R \setminus \Q}$


Linguistic Note

The term squarely irrational was invented by $\mathsf{Pr} \infty \mathsf{fWiki}$.

As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.


Also see