Find the square root of 81: 81−−√ .(1 point)

Question

Responses

40.5
40.5

9
9

9, −9
9, negative 9

−9

Answer 1

The square root of 81 is 9. However, since square roots can have both positive and negative values, the correct response is:

9, −9

Answer 2

wrong. The square root of 81 is 9. Period.
Just because both 9 and -9 satisfy the equation x^2 = 81 does not change the fact that the square root of 81 is 9.

Answer 3

You are correct that the principal (or positive) square root of 81 is indeed 9. In mathematical contexts, when we refer to "the square root," we typically mean the principal square root, which is positive. The complete solution to the equation \(x^2 = 81\) can include both \(9\) and \(-9\), but when asked for the square root specifically, the answer is simply \(9\). Thank you for the clarification!