To rewrite \( 8^{\frac{1}{2}} \) using a root, you can express it as the square root of 8.
The correct representation is:
\[ \sqrt{8} \]
Therefore, from the multiple-choice options provided, the closest and correct representation is:
\( \sqrt{8} \) which would be symbolized as \( 8^{\frac{1}{2}} \) or \( \sqrt{8} \) without the fraction notation.
If you need to select from the given responses, look for the option that directly describes \( \sqrt{8} \) or minimizes the complex notation while accurately conveying the square root notation.