To rewrite \( 8 \frac{1}{2} \) using a root, you can express \( 8 \frac{1}{2} \) as \( 8.5 \) or \( \frac{17}{2} \).
Considering the root options provided, we need to find a way to represent \( 8.5 \) through a fractional root.
The best choice from your options is: \[ \text{root index } \frac{1}{2} \text{ Start Root } 8 \text{ End Root} \] This can be understood as \( \sqrt{8} \) in the denominator, which can relate to the value of \( 8.5 \) when combined with the correct expressions.
However, none of the given options directly equate \( 8 \frac{1}{2} \) to \( 8.5 \) accurately and completely.
In conclusion, none of the provided choices accurately rewrite \( 8 \frac{1}{2} \) as a root expression that equals \( 8.5 \). If you meant something specific by "rewrite," more clarification would be needed, or more options may be available.