Estimate the value of 6×√2

Question

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

6.4
6.4

7.1
7.1

9.8
9.8

8.4

Answer 1

To estimate the value of \( 6 \times \sqrt{2} \), we need to know the approximate value of \( \sqrt{2} \).

The value of \( \sqrt{2} \) is approximately 1.414.

Now we can calculate:

\[ 6 \times \sqrt{2} \approx 6 \times 1.414 = 8.484 \]

Now, we need to compare this result to the provided options:

• 6.4
• 7.1
• 9.8
• 8.4

The closest estimate to 8.484 is 8.4.

So, the best estimate is 8.4.