Estimate the value of 6 × √2. Which of the following choices is the best estimate? (1 point)

○ 8.4
○ 9.8
○ 7.1
○ 6.4

1 answer

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

The square root of \( 2 \) is approximately \( 1.414 \). Now, we can calculate:

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

Among the choices given, the best estimate for \( 6 \times \sqrt{2} \) is:

8.4