Which of the following is an equivalent expression to 81−12

Question

?(1 point)
Responses

81−−√
square root of 81

181√
the fraction with numerator 1 and denominator square root of 81

−81−−√
negative square root of 81

−181√

Answer 1

To simplify the expression \( 81 - 12 \):

1. Calculate \( 81 - 12 \): \[ 81 - 12 = 69 \]

Now, we look at the response options present. However, none of the options seem to relate to our result of 69 directly since they deal with square roots.

Let us evaluate the square root of 81.

\[ \sqrt{81} = 9 \]

None of the responses directly equate to the value 69. If the original expression was interpreted in terms of square roots, we might consider equivalent transformations, but none stated (using the options given) reflect any simplification or equivalency leading back to the original expression.

However, one of the responses deals with \( \sqrt{81} \):

• Option: \( \sqrt{81} \) is equivalent to 9, indicating the square root calculation but it does not relate to \( 81 - 12 = 69 \).

There seems to be no correct option equating \( 81 - 12 \). Thus I conclude:

The answer is none of the options provided relate to an equivalent expression for \( 81 - 12 \).

If the context of equivalency is erroneous or if there's an error showing up regarding equivalent forms, please double-check the question for accuracy or provide clarification.