Question

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

8–√
Start Root 8 End Root

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

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

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

Answer 1

To rewrite \( 812 \) using a root, you can express it as follows:

\[
\sqrt[2]{812} = \sqrt{812}
\]

However, since the options provided do not directly mention this, based on the options related to expressing \( 812 \), the correct choice seems to lean toward the representation of the square root.

If we analyze the responses provided:

1. **\( 8 - \sqrt{12} \)**
2. **Root index \( \frac{1}{2} \sqrt{8} \)**
3. **\( 8 - \sqrt{1} \)**

None of these directly represent \( 812 \), however, the second option can reflect a half power:

**Root index \( \frac{1}{2} \sqrt{8} \)** could conceptually align with a square root form.

Overall, since there's no option that neatly boxes into rewriting \( 812 \), it may be plausible to extract:

**Option: root index \( \frac{1}{2} \sqrt{812} \)** would thus be the intention if it follows in another context.

If the goal is to reconstruct \( 812 \), the representation using square root aligns it closely with format.