Question

solve for z.
$z^2 = 36$
$z = \square$ or $\square$
submit

Explanation:

Step1: Take square root of both sides

To solve \( z^2 = 36 \), 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 because \( (\pm a)^2=a^2 \). So we have \( z=\pm\sqrt{36} \).

Step2: Calculate the square root

We know that \( \sqrt{36} = 6 \), so substituting that in, we get \( z = 6 \) or \( z=- 6 \).

Answer:

\( z = 6 \) or \( z = -6 \)