Definition:Squarely Irrational Number

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

Thus, the set of the squarely irrational numbers is:
 * $\set {x \in \R \setminus \Q : x^2 \in \R \setminus \Q}$

Also see

 * Definition:Irrational Line Segment