establish vs institute

establish is not a noun while institute is a noun.

Word	Noun	Adjective	Verb	Adverb
establish	No	No	Yes	No
institute	Yes	No	Yes	No

As verbs, establish and institute are synonyms defined as:

Other synonyms of establish include constitute, found, plant.

establish (noun)	institute (noun)
	an association organized to promote art or science or education

establish (verb)	institute (verb)
establish the validity of something, as by an example, explanation or experiment	advance or set forth in court
institute, enact, or establish	set up or lay the groundwork for
use as a basis for; found on
place
set up or lay the groundwork for
bring about
build or establish something abstract
set up or found