Estimate the value of 6×2–√

Question

. Which of the following choices is the best estimate?

options:

8.4
8.4

7.1
7.1

6.4
6.4

9.8

Answer 1

To estimate the value of \( 6 \times 2 - \sqrt{2} \), we can calculate it step by step:

1. Calculate \( 6 \times 2 = 12 \).
2. Estimate \( \sqrt{2} \). The square root of 2 is approximately 1.41.
3. Now, subtract the estimate of \( \sqrt{2} \) from 12: \[ 12 - 1.41 \approx 10.59 \]

Now let's look at the provided options:

• 8.4
• 7.1
• 6.4
• 9.8

Since our estimate of \( 10.59 \) does not match exactly with any of the choices, but the closest option is 9.8.

Thus, based on the estimate, the best choice is 9.8.