To estimate the value of \( 6 \times 2 - \sqrt{3} \), let's calculate it step-by-step:
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Calculate \( 6 \times 2 \): \[ 6 \times 2 = 12 \]
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Next, estimate \( \sqrt{3} \). We know that \( \sqrt{3} \) is approximately \( 1.732 \).
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Now, subtract \( \sqrt{3} \) from \( 12 \): \[ 12 - 1.732 \approx 10.268 \]
Looking at the provided options (7.1, 6.4, 8.4, 9.8), the best estimate for \( 6 \times 2 - \sqrt{3} \), which we calculated to be approximately 10.268, is not listed.
Based on the closest estimates, none are suitably close, but if I were to consider the options:
- 9.8 is the closest to the calculated value of approximately 10.268.
Therefore, the best estimate from the choices given is \( 9.8 \).
3 answers