To estimate the value of \( 6 \times \sqrt{2} \), we first need to approximate \( \sqrt{2} \).
We know that: \[ \sqrt{2} \approx 1.414 \]
Now we can calculate: \[ 6 \times \sqrt{2} \approx 6 \times 1.414 = 8.484 \]
Looking at the options provided:
- A. 7.1
- B. 6.4
- C. 8.4
- D. 9.8
The closest estimate to \( 8.484 \) is: C. 8.4.