Question

Square of an imaginary number is always​

Answer 1

Given:

Consider the given imaginary number z = ai

Find:

Square of z

Solution:

We know that the value of imaginary number i is

$i=\sqrt{-1}$

Squaring on both sides we have

$i^{2} = -1$

therefore if we have given any imaginary number z = ai

then

$z^2=(ai)^{2}$

$z^2=a^2(-1)$

$z^2=-a^2$

The answer is -a^2