To find the length of the diagonal of a square with a given side length, you can use the following formula:
[tex]\[
\text{Diagonal} = \text{Side length} \times \sqrt{2}
\][/tex]
For a square with a side length of 8, the calculation is as follows:
[tex]\[
\text{Diagonal} = 8 \times \sqrt{2}
\][/tex]
Now, let's simplify this expression.
[tex]\[
8 \times \sqrt{2} \approx 11.313708498984761
\][/tex]
Given the options:
A. 4
B. [tex]\(4 \sqrt{2}\)[/tex]
C. [tex]\(4 \sqrt{3}\)[/tex]
D. [tex]\(8 \sqrt{2}\)[/tex]
The best answer is:
D. [tex]\(8 \sqrt{2}\)[/tex]
