Question

1.Under what conditions is the square of a complex number x + iy

(A) a real number.
(B) an imaginary number.


2.Can you consider the number 1 as a complex number?Give reason.

3.A student got 1 = -1, by putting a = -1 and b = -1 in √(ab) = √a.√b, where did he commit the mistake?

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Answer 1

A) when any of x or y is zero

B) when x=y

2) yes, here y=0 and x=1
and can be return as 1 + i0

3) you can't put -ve term in under root