To estimate the value of \( 6 \times 2 - \sqrt{2} \), we can first calculate \( 6 \times 2 \) and approximate \( \sqrt{2} \).
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Calculate \( 6 \times 2 \): \[ 6 \times 2 = 12 \]
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Estimate \( \sqrt{2} \): The value of \( \sqrt{2} \) is approximately \( 1.41 \).
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Substitute these values into the expression: \[ 12 - \sqrt{2} \approx 12 - 1.41 = 10.59 \]
Thus, the best estimate for \( 6 \times 2 - \sqrt{2} \) is approximately \( 10.59 \).
If you have specific choices to consider, please provide them, and I can help you determine which one is the closest to this estimate.