How can you rewrite 812

Question

using a root?(1 point)
Responses

8–√
Start Root 8 End Root

8–√1
root index 1 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

Answer 1

To rewrite the number 812 using a root, we can express it as \( \sqrt{8 \cdot 12^2} \).

Here is the breakdown:

• \( 812 = 8 \times 101.5 = 8 \times (12^2)^{1/2} \)

However, since \( 812 \) is not a natural number that directly translates into a simple root expression, the simplest choice from your options that uses roots is:

8–√12 (root index \(\frac{1}{2}\) \(\sqrt{8}\))

This is the best representation provided, since it maintains the relationship to the number through the use of root notation. However, there could be no direct match for \( 812 \) in a cleaner way with the given options.

Please choose the option that closely resembles a root, noting the representation might not be exact but still shows a relation.