Question

Create an inequality expression with square root 8 and square root 16/2 thats shows how they compare

Answer 1

We are given the following two numbers to compare

`\sqrt[]{8}\quad and\quad \frac{\sqrt[]{16}}{2}`

Let us simplify them

`\begin{gathered} \frac{\sqrt[]{16}}{2}=(4)/(2)=2\quad (\text{this is smaller)} \\ \sqrt[]{8}=2.828\quad (\text{this is greater)} \end{gathered}`

So, we can compare them as

`\sqrt[]{8}>\frac{\sqrt[]{16}}{2}`

The quantity on the left side is greater than the quantity on the right side.