cheer vs root on

cheer is a noun but root on is not a noun.

Word	Noun	Adjective	Verb	Adverb
cheer	Yes	No	Yes	No
root on	No	No	Yes	No

As verbs, cheer and root on are synonyms defined as:

Other synonyms of cheer include barrack, exhort, inspire, pep up, urge, urge on.

cheer (noun)	root on (noun)
the quality of being cheerful and dispelling gloom
a cry or shout of approval

cheer (verb)	root on (verb)
become cheerful	spur on or encourage especially by cheers and shouts
spur on or encourage especially by cheers and shouts
show approval or good wishes by shouting
cause (somebody) to feel happier or more cheerful
give encouragement to