demonstrate vs show

demonstrate is not a noun while show is a noun.

Word	Noun	Adjective	Verb	Adverb
demonstrate	No	No	Yes	No
show	Yes	No	Yes	No

As verbs, demonstrate and show are synonyms defined as:

demonstrate and show: establish the validity of something, as by an example, explanation or experiment

Other synonyms of demonstrate include establish, prove, shew.

As verbs, show is a hypernym of demonstrate; that is, show is a word with a broader meaning than demonstrate:

demonstrate: provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes
show: provide evidence for

Other hypernyms of demonstrate include bear witness, evidence, prove, testify.

As verbs, demonstrate and show are synonyms defined as:

Other synonyms of demonstrate include demo, exhibit, present.

As verbs, show is a hypernym of demonstrate; that is, show is a word with a broader meaning than demonstrate:

demonstrate (noun)	show (noun)
	an act or social event involving a public performance or entertainment
	pretending that something is the case in order to make a good impression
	something intended to communicate a particular impression

demonstrate (verb)	show (verb)
establish the validity of something, as by an example, explanation or experiment	establish the validity of something, as by an example, explanation or experiment
provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes	provide evidence for
give an exhibition of to an interested audience	indicate a place, direction, person, or thing; either spatially or figuratively
march in protest; take part in a demonstration	give expression to
	give evidence of, as of records
	indicate a certain reading; of gauges and instruments
	finish third or better in a horse or dog race
	show in, or as in, a picture
	take (someone) to their seats, as in theaters or auditoriums
	make visible or noticeable
	be or become visible or noticeable
	give an exhibition of to an interested audience