Do complex numbers involve all the numbers like rational, irrational, integers....?

Question

Do complex numbers involve all the numbers like rational, irrational, integers....?

Answer 1

Yes, the sets of rationals, irrationals and integers are all subsets of the complex numbers.

Complex numbers are expressed in the form x+iy, and for each of those 3 sets you'd mentioned, the value of y is 0.

Another set you left out would be the set of real numbers.

Answer 2

No. Complex numbers involve the square root of [-1]. complex numbers have a real component & an imaginary component, typically written as:

a + ib

where i = Sq.Rt(-1)

each of a or b can be integer, rational, or irrational numbers