Answer
$$\frac{18+9\sqrt{5}}{9}=2+\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{18+9\sqrt{5}}{9}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2+\sqrt{5}}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2+\sqrt{5}\end{aligned} $$ | |
| ① | Divide both numerator and denominator by 9. |
| ② | Remove 1 from denominator. |
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