We are given the following two numbers to compare
[tex]\sqrt[]{8}\quad and\quad \frac{\sqrt[]{16}}{2}[/tex]
Let us simplify them
[tex]\begin{gathered} \frac{\sqrt[]{16}}{2}=\frac{4}{2}=2\quad (\text{this is smaller)} \\ \sqrt[]{8}=2.828\quad (\text{this is greater)} \end{gathered}[/tex]
So, we can compare them as
[tex]\sqrt[]{8}>\frac{\sqrt[]{16}}{2}[/tex]
The quantity on the left side is greater than the quantity on the right side.
