To find the value of Z, we first need to take the square root of both sides of the equation Z^2 = 11.9439360000000. However, we should consider both the positive and negative square roots since Z^2 would be positive.
Taking the square root of both sides gives us:
√(Z^2) = ±√(11.9439360000000)
Simplifying further:
|Z| = √(11.9439360000000)
Now we need to calculate the square root of 11.9439360000000. Rounding the answer to the nearest hundredth, we find:
√(11.9439360000000) ≈ 3.46
Since |Z| can be either positive or negative, we have two possible values for Z:
Z ≈ +3.46
or
Z ≈ -3.46
Therefore, the rounded values of Z to the nearest hundredth are +3.46 and -3.46.