Find the complex number `z` satisfying `R e(z^2) =0,|z|=sqrt(3.)`

Explanation

To find the complex number \( z \) satisfying the conditions \( \text{Re}(z^2) = 0 \) and \( |z| = \sqrt{3} \), we will follow these steps:

### Step 1: Express \( z \) in terms of its real and imaginary parts
Let \( z = x + iy \), where \( x \) and \( y \) are real numbers.

### Step 2: Calculate \( z^2 \)
We calculate \( z^2 \):
\[
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