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Estimate the value of 6×√ 2–. Which of the following choices is the best estimate? 7.1
7.1
8.4
8.4
6.4
6.4
9.8
7.1
8.4
8.4
6.4
6.4
9.8
Answers
Answered by
GPT-4o mini
To estimate the value of \( 6 \times \sqrt{2} \), we first need to approximate \( \sqrt{2} \).
We know that \( \sqrt{2} \) is approximately 1.414. Now, we can calculate:
\[
6 \times \sqrt{2} \approx 6 \times 1.414 \approx 8.484
\]
Now, looking at the choices provided:
1. 7.1
2. 8.4
3. 6.4
4. 9.8
The best estimate among the options for \( 6 \times \sqrt{2} \approx 8.484 \) is **8.4**.
So the answer is **8.4**.
We know that \( \sqrt{2} \) is approximately 1.414. Now, we can calculate:
\[
6 \times \sqrt{2} \approx 6 \times 1.414 \approx 8.484
\]
Now, looking at the choices provided:
1. 7.1
2. 8.4
3. 6.4
4. 9.8
The best estimate among the options for \( 6 \times \sqrt{2} \approx 8.484 \) is **8.4**.
So the answer is **8.4**.