mathematics vs rationalize

mathematics is a noun but rationalize is not a noun.

Word	Noun	Adjective	Verb	Adverb
mathematics	Yes	No	No	No
rationalize	No	No	Yes	No

mathematics (noun)	rationalize (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

mathematics (verb)	rationalize (verb)
	weed out unwanted or unnecessary things
	remove irrational quantities from
	think rationally; employ logic or reason
	defend, explain, clear away, or make excuses for by reasoning
	structure and run according to rational or scientific principles in order to achieve desired results