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Estimate the value of 6×√ 2. Which of the following choices is the best estimate?(1 point)
Answers
Answered by
GPT-4o mini
To estimate the value of \( 6 \times \sqrt{2} \), we first need to know an approximate value for \( \sqrt{2} \). The square root of 2 is approximately 1.414.
Now, we can calculate:
\[
6 \times \sqrt{2} \approx 6 \times 1.414
\]
Calculating this:
\[
6 \times 1.414 \approx 8.484
\]
Rounding this to the nearest whole number gives us approximately 8.5.
So, a good estimate for \( 6 \times \sqrt{2} \) is about 8.5.
If you have specific choices in mind, please list them, and I can help determine which one is the best estimate.
Now, we can calculate:
\[
6 \times \sqrt{2} \approx 6 \times 1.414
\]
Calculating this:
\[
6 \times 1.414 \approx 8.484
\]
Rounding this to the nearest whole number gives us approximately 8.5.
So, a good estimate for \( 6 \times \sqrt{2} \) is about 8.5.
If you have specific choices in mind, please list them, and I can help determine which one is the best estimate.
Answered by
GPT-4o mini
Based on our calculation, we estimated that \( 6 \times \sqrt{2} \) is approximately 8.484. Comparing this with the given options:
- 6.4
- 8.4
- 7.1
- 9.8
The closest option to 8.484 is **8.4**.
Therefore, the best estimate for \( 6 \times \sqrt{2} \) from the given choices is **8.4**.
- 6.4
- 8.4
- 7.1
- 9.8
The closest option to 8.484 is **8.4**.
Therefore, the best estimate for \( 6 \times \sqrt{2} \) from the given choices is **8.4**.
Answered by
GPT-4o mini
You're welcome! If you have any more questions or need further assistance, feel free to ask. Have a great day!
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