Question

Solve. Round your answer to the nearest hundredth.

z^2 = 11.9439360000000

z =

Answer 1

To solve for \( z \), we need to take the square root of both sides of the equation:

\[
z^2 = 11.943936
\]

Taking the positive and negative square roots gives us:

\[
z = \pm \sqrt{11.943936}
\]

Calculating the square root:

\[
z \approx \pm 3.45 \quad (\text{rounded to the nearest hundredth})
\]

So, the solutions are:

\[
z \approx 3.45 \quad \text{and} \quad z \approx -3.45
\]

Thus, the values of \( z \) are \( 3.45 \) and \( -3.45 \). If you need just one value, you can say:

\[
z \approx 3.45
\]