Question
Answer
$$9+\dfrac{\sqrt{108}}{18}=\dfrac{27+\sqrt{3}}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}9+\frac{\sqrt{108}}{18}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}9+\frac{\sqrt{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{27+\sqrt{3}}{3}\end{aligned} $$ | |
| ① | Divide both numerator and denominator by 6. |
| ② | $$ 9+\frac{\sqrt{3}}{3}
= 9 \cdot \color{blue}{\frac{ 3 }{ 3}} + \frac{\sqrt{3}}{3} \cdot \color{blue}{\frac{ 1 }{ 1}}
= \frac{27+\sqrt{3}}{3} $$ |
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