complex number comp·lex·num·ber fairly common noun 1. a number of the form a+bi where a and b are real numbers and i is the square root of -1 Synonymscomplex numbercomplex quantityimaginary number Related words Broader terms number Narrower terms real numberpure imaginary number Part of imaginary part WordNet 2.1 (Princeton University). WordNet 2.1 Copyright Princeton University. All rights reserved.