Estimate the value of 6×2–√

Question

. Which of the following choices is the best estimate?(1 point)
Responses

6.4
6.4

8.4
8.4

9.8
9.8

7.1

Answer 1

To estimate the value of \(6 \times 2 - \sqrt{}\), we first need to clarify the expression. Assuming it is \(6 \times 2 - \sqrt{2}\):

1. Calculate \(6 \times 2\): \[ 6 \times 2 = 12 \]

2. Now, estimate \(\sqrt{2}\). Knowing that \(\sqrt{2}\) is approximately \(1.41\):

3. Then subtract \(\sqrt{2}\) from \(12\): \[ 12 - 1.41 \approx 10.59 \]

Based on the estimated calculations, let’s consider which of the provided choices is the closest to 10.59:

• 6.4
• 8.4
• 9.8
• 7.1

None of these options are very close to 10.59, but since 9.8 is the closest option, the best estimate would be:

9.8.