To estimate the value of \( 6 \times 2 - \sqrt{} \), we need to clarify the expression. Assuming you meant \( 6 \times 2 - \sqrt{2} \), we can proceed with the estimation:
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Calculate \( 6 \times 2 \): \[ 6 \times 2 = 12 \]
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Estimate \( \sqrt{2} \): \[ \sqrt{2} \approx 1.4 \quad (\text{more accurately, } 1.414) \]
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Now subtract \( \sqrt{2} \) from \( 12 \): \[ 12 - \sqrt{2} \approx 12 - 1.4 = 10.6 \]
Based on this calculation, \( 12 - \sqrt{2} \) is approximately \( 10.6 \).
Comparing this value to the provided choices:
A) 7.1
B) 8.4
C) 9.8
D) 6.4
None of the options match \( 10.6 \) directly, but since \( 10.6 \) is greater than \( 9.8 \), and there are no closer options, the best estimate among the choices is:
C) 9.8