Define Commensurable and incommensurable.​

1. to have no common measure

The term 'incommensurable' means 'to have no common measure'. The idea has its origins in Ancient Greek mathematics, where it meant no common measure between magnitudes. For example, there is no common measure between the lengths of the side and the diagonal of a square.

2. In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio a/b is a rational number; otherwise a and b are called incommensurable. There is a more general notion of commensurability in group theory.

Step-by-step explanation:

Two like quantities—for example, lengths or areas—are said to be commensurable if they have a common measure. ... For example, the lengths of a diagonal and a side of a square are incommensurable, as are the areas of a circle and of a square constructed on the radius of the circle.

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