Solve for z.

Question

z2 = 81

Write your answers as integers or as proper or improper fractions in simplest form.

z =
or z =

Answer 1

To solve for \( z \) in the equation \( z^2 = 81 \), we take the square root of both sides.

\[ z = \sqrt{81} \quad \text{or} \quad z = -\sqrt{81} \]

Calculating the square root, we find:

\[ z = 9 \quad \text{or} \quad z = -9 \]

Thus, the solutions for \( z \) are:

\[ z = 9 \quad \text{or} \quad z = -9 \]