Question

solve for z.
$z^2 = 4$
$z = \square$ or $\square$

Explanation:

Step1: Take square root of both sides

To solve \( z^2 = 4 \), we take the square root of both sides. Remember that when we take the square root of a number, we consider both the positive and negative roots. So we have \( z = \pm\sqrt{4} \).

Step2: Calculate the square root

We know that \( \sqrt{4} = 2 \), so substituting that in, we get \( z = 2 \) or \( z = -2 \).

Answer:

\( z = 2 \) or \( z = -2 \)