Difference between Nonrational and Irrational

Nonrational

Part of speech: adjective

Definition: Contrary to reason; lacking an appropriate or sufficient reason; irrational.

Irrational

Part of speech: adjective

Definition: Not rational; unfounded or nonsensical.(no comparative or superlative) Of a real number, that cannot be written as the ratio of two integers.

Part of speech: noun

Definition: A real number that can not be expressed as the quotient of two integers, an irrational number.

Example sentence: When I was old enough to realize all meat was killed, I saw it as an irrational way of using our power, to take a weaker thing and mutilate it. It was like the way bullies would take control of younger kids in the schoolyard.