Estimate the value of 6×√2

Question

. Which of the following choices is the best estimate?
Responses

8.4
8.4 - not selected, this is the correct answer

7.1
7.1 - incorrect

6.4
6.4 - no response given

9.8

Answer 1

To estimate the value of \( 6 \times \sqrt{2} \), we can first find an approximate value for \( \sqrt{2} \).

The square root of 2 is approximately 1.414. Therefore:

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

Now, rounding this to one decimal place gives us approximately 8.5. Among the choices provided:

• 8.4 (closest choice)
• 7.1
• 6.4
• 9.8

The best estimate is 8.4.