To estimate the value of \( 6 \times 2 - \sqrt{} \), we first need to clarify what number we should be taking the square root of, as it is not specified in your expression.
Assuming it means \( 6 \times 2 - \sqrt{something} \) where "something" might be a constant or variable, let's just evaluate \( 6 \times 2 = 12 \).
Next, if we're looking at the square root of 4 (as an example), we would calculate \( 12 - \sqrt{4} = 12 - 2 = 10 \).
However, with the options given, it seems the intention is just to estimate \( 6\times2 \) without a specific square root to evaluate. In that case:
- If there is no significant "something" to subtract, it appears we are estimating \( 12 \).
From the choices given (9.8, 8.4, 6.4, 7.1), none of those match closely with 12.
If interpreting the expression differently or assuming a square root of a larger number to gauge results based on possible outcomes from \( 6 \times 2 \):
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If we take \( \sqrt{16} \), then \( 6 \times 2 - 4 = 8 \), but this does not align with given options.
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A square root of approximately 9 to 10 would yield a reasonable subtraction from 12, still placing us closer to the original 12 as options are below that.
Among these choices, the best estimate if \( 6\times2 \) minus an undefined √ yields closer options would weigh towards higher ones then checking:
If I had to pick the closest for \( 8 \), it would lean towards the choice 8.4 presuming some rounding might yield reasonable trial assessments close to 8 factoring in potential remaining reasonable estimates.
Thus, I recommend 8.4 as your best estimate.