Question

Estimate the value of 6×√2. Which of the following choices is the best estimate?
6.4
9.8
8.4
7.1

Answer 1

To estimate the value of \( 6 \times \sqrt{2} \), we first need an approximate value for \( \sqrt{2} \). A common approximation of \( \sqrt{2} \) is about 1.4.

Now, we can calculate:

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

Now, let's compare this estimate to the given choices:

- 6.4
- 9.8
- 8.4
- 7.1

The best estimate for \( 6 \times \sqrt{2} \) from the options is **8.4**.