To estimate the value of \(6 \times 2 - \sqrt{}\), we first need to clarify the expression. Assuming the expression represents \(6 \times 2 - \sqrt{?}\), the missing part for the square root is not specified. However, if we assume the square root is \(0\) for estimation purposes, we would calculate:
\[ 6 \times 2 - \sqrt{0} = 12 - 0 = 12 \]
Since none of the choices match 12, let’s investigate a more general form. If we assume the root could represent \(4\):
\[ 6 \times 2 - \sqrt{4} = 12 - 2 = 10 \]
If we consider \( \sqrt{9} \):
\[ 6 \times 2 - \sqrt{9} = 12 - 3 = 9 \]
If we consider \( \sqrt{16} \):
\[ 6 \times 2 - \sqrt{16} = 12 - 4 = 8 \]
Now, without knowing the number under the square root, let’s estimate:
- If \( \sqrt{\text{a number}} \) is reasonably between \(0\) and \(4\), the value we would compute would fall roughly between \(8\) and \(12\).
From the choices:
- 9.8
- 6.4
- 7.1
- 8.4
Given this, 8.4 would be the best estimate if we assume a moderate square root value.
So, the best estimate is: 8.4.