Question

I just need to know if these are already simplified or not

Answer 1

`\begin{gathered} (3+√(3))/(\:3)\rightarrow\text{ Yes} \\ \\ (2+√(3))/(\:3)\rightarrow\text{ Yes} \\ \\ (2+2√(3))/(4)\rightarrow\text{ No} \\ \\ (1+√(2))/(\:4)\rightarrow\text{ Yes} \end{gathered}`

Explanation:

We analyze each case to determine if it can be simplified further, like so:

`\begin{gathered} (3+√(3))/(\:3)\rightarrow\text{ It's already simplify} \\ \\ (2+√(3))/(\:3)\rightarrow\text{ It's already simplify} \\ \\ (2+2√(3))/(4)=(2\left(1+√(3)\right))/(4)=(1+√(3))/(2)\rightarrow\text{ it's not simplified} \\ \\ (1+√(2))/(\:4)\rightarrow\text{ It's already simplify} \end{gathered}`