Question

Which of the following best describes the set of all numbers of the form a+bi where a and b are any real numbers and i equals square root of -1?
A. Rational Exponents

B. complex numbers

C. complex fractions

D. Rational Exponents

Answer 1

Answer: B) Complex numbers

Complex numbers are always in the form a+bi with 'a' and 'b' as real numbers.

If b = 0 and 'a' is nonzero, then a+bi = a+0i = a which is strictly a real number

If a = 0 and b is nonzero, then a+bi = 0+bi = bi indicating that the number is now purely imaginary