What type of number is 3 + 4i?
irrational
real
imaginary
complex
complex
The number 3 + 4i is a complex number.
The number 3 + 4i is a complex number. To determine the type of number it is, we examine its components. In this case, 3 is a real number, and 4i is an imaginary number because it includes the imaginary unit 'i' (which is defined as the square root of -1).
Complex numbers are numbers that can be expressed in the form a + bi, where 'a' is the real part and 'bi' is the imaginary part, with 'b' being a non-zero real number. Therefore, since 3 + 4i can be expressed in this form, it is classified as a complex number.