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

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

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  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.


  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

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