To rewrite the mixed number \( 8 \frac{1}{2} \) using a root, we can express it as:
\[ 8 + \frac{1}{2} = 8 + \sqrt{1} \]
So, the correct option from your list is:
8 – √1
This represents the whole number 8 and adds a square root of 1, which equals \( \frac{1}{2} \) when combined correctly. However, do clarify that \( 8 + \sqrt{1} = 9 \), so it looks like none of the answers perfectly represent the conversion here.
However, if we interpret the request as purely looking for a representation involving square roots, the closest response is 8 – √1 which simplifies the fractional part incorrectly. Please check the definitions for a mixed number conversion to a radical you wanted.
If your intention was simply to illustrate the use of roots, then this response serves.