To estimate the value of \( 6 \times 2 - \sqrt{} \), we need to clarify what \( \sqrt{} \) is being taken. Since it is not specified, let's assume the expression aims to simplify \( 6 \times 2 - \sqrt{something} \).
Calculating \( 6 \times 2 \): \[ 6 \times 2 = 12 \]
Now, we need to subtract a value based on \( \sqrt{} \). Without a specific number under the square root, we can assume a reasonable square root value, for example, \( \sqrt{4} \) (which is 2) or \( \sqrt{16} \) (which is 4).
Let’s try using \( \sqrt{4} \): \[ 12 - 2 = 10 \]
Now trying \( \sqrt{16} \): \[ 12 - 4 = 8 \]
If we consider \( \sqrt{25} \): \[ 12 - 5 = 7 \]
The "best estimate" could vary depending on what \( \sqrt{} \) actually represents. But with these calculations, we have potential estimates of 10, 8, and 7 so far.
Looking at the possible choices:
- 6.4
- 8.4
- 7.1
- 9.8
The closest estimate based on our calculations would be 8.4 if we think in the context of an approximation leaning toward a square root value near 4 or 9.
Thus, I recommend the choice 8.4 as the best estimate.