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