Let's now consider our expression.
sqrt(54/6) + 2/3
First, we need to calculate the square root. We will start by simplifying the quotient inside the radicand.
sqrt(54/6)+2/3 divide ⟶ sqrt(9)+2/3
Next, we can calculate the square root. Because we know that 3^2=9, we also know that sqrt(9)=3.
\begin{gathered}
\sqrt{\textcolor{olive}9}+\dfrac{2}{3}\quad \stackrel{\text{calculate root}}{\longrightarrow} \quad \textcolor{deepskyblue}3+\dfrac{2}{3}
\end{gathered}
Now we can finish evaluating our expression. The fraction cannot be divided into an integer. Therefore, we only need to add the terms.
