To reduce the surd [tex]\(\sqrt[3]{891}\)[/tex] into its simplest form, let's go through the steps:
1. Identify the expression:
[tex]\[
\sqrt[3]{891}
\][/tex]
2. Simplify the expression:
The cube root of 891 may not be immediately recognizable. However, if we find the approximate value using the definition of cube root, we find:
[tex]\[
\sqrt[3]{891} \approx 3.10203207430024
\][/tex]
3. Check for simplest form:
Since 3.10203207430024 is a numerical result and can't be simplified further into a smaller surd, it is in its simplest form.
Thus, the simplest surd form of [tex]\(\sqrt[3]{891}\)[/tex] is approximately:
[tex]\[
3.10203207430024
\][/tex]
This result shows that [tex]\(\sqrt[3]{891}\)[/tex] simplifies to approximately [tex]\(3.10203207430024\)[/tex].
