How can you rewrite 8 1/2 using a root?(1 point)

Question

Responses

8–√
Start Root 8 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

12−−√8
root index 8 Start Root Start Fraction 1 over 2 End Fraction End Root

Answer 1

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.