Which of the following is an equivalent expression to 81−12 ?(1 point)

Responses

−81−−√
negative Start Root 81 End Root

81−−√
Start Root 81 End Root

181√
Start Fraction 1 over Start Root 81 End Root End Fraction

−181√

1 answer

To simplify the expression \( 81 - 12 \), we first calculate it:

\[ 81 - 12 = 69 \]

Now, we need to evaluate each of the given options to see if any of them equate to \( 69 \).

  1. Option 1: \( -\sqrt{81} \)
    \[ -\sqrt{81} = -9 \]

  2. Option 2: \( \sqrt{81} \)
    \[ \sqrt{81} = 9 \]

  3. Option 3: \( \frac{1}{\sqrt{81}} \)
    \[ \frac{1}{\sqrt{81}} = \frac{1}{9} \]

  4. Option 4: \( -\frac{1}{\sqrt{81}} \)
    \[ -\frac{1}{\sqrt{81}} = -\frac{1}{9} \]

None of the options result in \( 69 \). Could you please clarify or check the options provided?