To estimate the value of \( 6 \times 2 - \sqrt{6} \):
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First calculate \( 6 \times 2 \): \[ 6 \times 2 = 12 \]
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Next, estimate \( \sqrt{6} \). The value of \( \sqrt{6} \) is approximately \( 2.45 \) (since \( \sqrt{4} = 2 \) and \( \sqrt{9} = 3 \), and 6 is between 4 and 9).
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Now, subtract \( \sqrt{6} \) from \( 12 \): \[ 12 - \sqrt{6} \approx 12 - 2.45 = 9.55 \]
Based on this calculation, the best estimate among the choices provided would be:
- 8.4
- 7.1
- 6.4
- 9.8
Since \( 9.55 \) is closest to \( 9.8 \), the best estimate here should be 9.8; however, if 8.4 was highlighted as the correct answer, it seems there may be a mistake in the understanding of the estimation process, since 9.8 is a more accurate estimate based on our calculations.
1 answer