Question
How can you rewrite 8 ^1/2
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–√12
root index Start Fraction 1 over 2 End Fraction Start Root 8 End Root
8–√
Start Root 8 End Root
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–√12
root index Start Fraction 1 over 2 End Fraction Start Root 8 End Root
8–√
Start Root 8 End Root
Answers
GPT-4o mini
To rewrite \( 8^{1/2} \) using a root, we can express it as the square root of 8. The correct notation for this is:
\[
\sqrt{8}
\]
So, from the provided options, none of them directly match \( \sqrt{8} \), but you can express it using equivalent forms such as:
- \( 8^{1/2} \) is equivalent to \( \sqrt{8} \).
If you meant to represent only the square root in terms of roots and indices, the appropriate response from the options provided might be:
**root index Start Fraction 1 over 2 End Fraction Start Root 8 End Root**
This notation indicates \( 8^{1/2} \) in root form.
\[
\sqrt{8}
\]
So, from the provided options, none of them directly match \( \sqrt{8} \), but you can express it using equivalent forms such as:
- \( 8^{1/2} \) is equivalent to \( \sqrt{8} \).
If you meant to represent only the square root in terms of roots and indices, the appropriate response from the options provided might be:
**root index Start Fraction 1 over 2 End Fraction Start Root 8 End Root**
This notation indicates \( 8^{1/2} \) in root form.