To estimate the value of \( 6 \times 2 - \sqrt{} \), we first need to clarify the expression. However, if we assume the expression meant to be \( 6 \times 2 - \sqrt{something} \), we can evaluate the multiplication first.
Calculating \( 6 \times 2 \): \[ 6 \times 2 = 12 \]
Now, we need to consider the √ (square root) part. Since no number is specified, we can't calculate √ directly, but we can make some rough assumptions.
Assuming we need to subtract the square root of a simple number (e.g. \( \sqrt{4} = 2 \) or \( \sqrt{9} = 3 \)), we can evaluate a couple of scenarios:
If we assume \( \sqrt{0} = 0 \): \[ 12 - 0 = 12 \]
If \( \sqrt{1} = 1 \): \[ 12 - 1 = 11 \]
If \( \sqrt{4} = 2 \): \[ 12 - 2 = 10 \]
If \( \sqrt{9} = 3 \): \[ 12 - 3 = 9 \]
If \( \sqrt{16} = 4 \): \[ 12 - 4 = 8 \]
If \( \sqrt{25} = 5 \): \[ 12 - 5 = 7 \]
From the possibilities above, we see:
- \( \sqrt{16} \) gives us an estimate of \( 8 \)
- \( \sqrt{25} \) gives us an estimate of \( 7 \)
- Using roots of perfect squares down might yield numbers close to the selection.
Thus, the best estimate is likely \( 8.4 \) given that \( 12 - 4 = 8 \) is close to this option.
Among the choices given:
- 9.8
- 7.1
- 8.4
- 6.4
The best estimate based on above calculations and rounding would be: \[ \boxed{8.4} \]