A complex number is in the form of a +ib , where a is real number and ib is the imaginary number. for example root of 9 can be valued as 3 but root of -9 can be valued with the imaginary number we can find the value of -9.

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A complex number is an imaginary number and it is not real. It is expressed as a combination of a real part and an imaginary part as

        a + i b      where
               1)  a and b are real numbers (rational or irrational).
               2)  i = √-1       or    i² = -1

The real number algebra is applied to complex numbers also. A real number cannot be equal to an imaginary number.

Examples are :       3 + 4 i    ,    -2.6 + i √2

1 5 1