Definition:Incommensurable

Definition
Let $a, b \in \R_{>0}$ be (strictly) positive real numbers.

$a$ and $b$ are incommensurable iff $\dfrac a b$ is irrational.



Also known as
When used in the context of linear measure, the term incommensurable in length can be used, in order to distinguish explicitly from incommensurability in square.

Also see

 * Definition:Commensurable


 * Definition:Commensurable in Square
 * Definition:Incommensurable in Square


 * Definition:Commensurable in Square Only