To estimate the value of \( 6 \times 2 - \sqrt{} \), we first calculate \( 6 \times 2 \):
\[ 6 \times 2 = 12 \]
Next, we consider the square root. Since it seems that the expression is incomplete (as it does not specify what to take the square root of), let's assume it is asking for an approximate value of \( \sqrt{n} \) for some \( n \) that would typically be considered in the context of comparing results from the options given.
However, assuming it's instead asking for \( 12 - \sqrt{x} \) for some \( x \), let's consider that \( \sqrt{x} \) can range from reasonable values (for typical expressions).
If we loosely estimate \( \sqrt{x} \approx 5 \) (which is relatively average):
\[ \text{Approximate calculation: } 12 - \sqrt{x} \approx 12 - 5 \approx 7 \]
Now, let's look at the provided choices:
- 6.4
- 7.1
- 8.4
- 9.8
Given \( 7.1 \) is the closest to our estimate of 7, it appears to be the best choice.
So the best estimate for \( 6 \times 2 - \sqrt{} \) (assuming \( \sqrt{} \) represents a basic square root that subtracts from 12) is:
7.1