To simplify the expression \( 81 - \sqrt{12} \), we can evaluate each option given:
- \( 181 \) - This does not equal \( 81 - \sqrt{12} \).
- \( \frac{1}{\sqrt{81}} \) - This simplifies to \( \frac{1}{9} \), which does not equal \( 81 - \sqrt{12} \).
- \( \sqrt{81} - 81 \) - This evaluates to \( 9 - 81 = -72 \), which does not equal \( 81 - \sqrt{12} \).
- \( -\sqrt{81} - 18 \) - This evaluates to \( -9 - 18 = -27 \), which does not equal \( 81 - \sqrt{12} \).
- \( \sqrt{12} \) - This is not equivalent to \( 81 - \sqrt{12} \).
None of the provided responses seem to be equivalent to \( 81 - \sqrt{12} \). Please check the options again or clarify if there are any errors.