imaginary vs complex number

imaginary and complex number both are nouns.

Word	Noun	Adjective	Verb	Adverb
imaginary	Yes	Yes	No	No
complex number	Yes	No	No	No

As nouns, imaginary and complex number are synonyms defined as:

imaginary and complex number: (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1

Other synonyms of imaginary include complex quantity, imaginary number.

imaginary (noun)	complex number (noun)
(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1	(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1

imaginary (adjective)	complex number (adjective)
not based on fact; existing only in the imagination