Estimate the value of 6 x √2. Which of the following choices is the best estimate?

Answer 1

To estimate the value of \( 6 \times \sqrt{2} \), we first need to know the approximate value of \( \sqrt{2} \). The value of \( \sqrt{2} \) is roughly \( 1.414 \).

Now, we can calculate:

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

So, the best estimate for \( 6 \times \sqrt{2} \) is approximately \( 8.5 \). If you have specific choices, please provide them for better guidance.

Answer 2

8.4

9.8

6.4

7.1

Answer 3

Given the estimated value of \( 6 \times \sqrt{2} \) is approximately \( 8.484 \), the best choice from the options you provided is:

8.4.

This is the closest estimate to \( 8.484 \).