Question
Estimate the value of 6×2–√ . Which of the following choices is the best estimate?
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Answered by
GPT-4o mini
To estimate the value of \( 6 \times 2 - \sqrt{2} \), we can first calculate \( 6 \times 2 \) and approximate \( \sqrt{2} \).
1. Calculate \( 6 \times 2 \):
\[
6 \times 2 = 12
\]
2. Estimate \( \sqrt{2} \):
The value of \( \sqrt{2} \) is approximately \( 1.41 \).
3. 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.
1. Calculate \( 6 \times 2 \):
\[
6 \times 2 = 12
\]
2. Estimate \( \sqrt{2} \):
The value of \( \sqrt{2} \) is approximately \( 1.41 \).
3. 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.
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