To solve the expression [tex]\(8 \sqrt{6775}\)[/tex], we will go through the following steps:
1. Determine the square root of 6775:
- First, calculate the square root of 6775. From the given information, the square root of 6775 is approximately [tex]\(82.31038816577164\)[/tex].
2. Multiply the square root by 8:
- Next, multiply the square root of 6775 by 8. Using the value obtained from the first step:
[tex]\[
8 \times 82.31038816577164 = 658.4831053261731
\][/tex]
3. Summarize the result:
- Therefore, the final value of [tex]\(8 \sqrt{6775}\)[/tex] is approximately [tex]\(658.4831053261731\)[/tex].
So, the step-by-step evaluation of [tex]\(8 \sqrt{6775}\)[/tex] results in [tex]\(658.4831053261731\)[/tex].
