To solve the problem of comparing [tex]\(\pi\)[/tex] and [tex]\(\sqrt{8}\)[/tex], we need to find the numerical values of both quantities and then determine the relationship between them.
1. Calculate the value of [tex]\(\pi\)[/tex]:
- The value of [tex]\(\pi\)[/tex] is approximately [tex]\(3.141592653589793\)[/tex].
2. Calculate the value of [tex]\(\sqrt{8}\)[/tex]:
- The value of [tex]\(\sqrt{8}\)[/tex] is approximately [tex]\(2.8284271247461903\)[/tex].
3. Compare the two values:
- Now we compare [tex]\(3.141592653589793\)[/tex] (the value of [tex]\(\pi\)[/tex]) with [tex]\(2.8284271247461903\)[/tex] (the value of [tex]\(\sqrt{8}\)[/tex]).
4. Determine the inequality:
- Since [tex]\(3.141592653589793\)[/tex] is greater than [tex]\(2.8284271247461903\)[/tex], we have: [tex]\(\pi > \sqrt{8}\)[/tex].
Therefore, the inequality statement is:
[tex]\[
\pi > \sqrt{8}
\][/tex]
So the correct inequality symbol to use is [tex]\(>\)[/tex].
