Question

z2=46Use a calculator.Z≈(Round to the nearest tenth as needed. Use a comma to separate answers as needed.)

Answer 1

The given expression is

`z^2=46`

We can look for a number in which square power is 46 or close to 46.

Notice that, 6 times 6 is 36, and 7 times 7 is 49. This means The number is between 6 and 7.

`z\approx6,-6`

Now, we use a calculator to find the exact solution.

`z=\sqrt[]{46}\approx\pm6.78`

As you can see, the approximated solutions are 6.78 and -6.78.