Question

Estimate the value of 6×√2 . Which of the following choices is the best estimate?
8.4
8.4

9.8
9.8

7.1
7.1

6.4

Answer 1

To estimate the value of \(6 \times \sqrt{2}\), we need to first estimate \(\sqrt{2}\). A common approximation is:

\[
\sqrt{2} \approx 1.4
\]

Now, we can compute:

\[
6 \times \sqrt{2} \approx 6 \times 1.4 = 8.4
\]

Among the given choices, the best estimate is:

**8.4**.