Rational Exponents Quick Check

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Question
How can you rewrite 812 using a root?(1 point)
Responses

12−−√8
root index 8 Start Root Start Fraction 1 over 2 End Fraction End Root

8–√1
root index 1 Start Root 8 End Root

8–√
Start Root 8 End Root

8–√12

1 answer

To rewrite \( 812 \) using a root, you can express \( 812 \) in terms of a fractional exponent.

The correct interpretation is:

\[ 812 = 8^{\frac{1}{2}} \]

This means \( 812 \) can be written as the square root of \( 8 \).

Thus, the correct response from the options you're given would be:

\[ \sqrt{8} \] which corresponds to \( 8^{\frac{1}{2}} \).

Since no exact match is presented in the responses, the intended correct interpretation of rewriting \( 8^{12} \) as \( \sqrt{8} \) can be inferred.

If you meant to convey something else, please let me know!