Question
Answer
$$21\cdot\dfrac{\sqrt{6}}{54}=\dfrac{7\sqrt{6}}{18}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}21 \cdot \frac{\sqrt{6}}{54}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{21\sqrt{6}}{54} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 21 \sqrt{ 6 } : \color{blue}{ 3 } } { 54 : \color{blue}{ 3 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{7\sqrt{6}}{18}\end{aligned} $$ | |
| ① | $$ \color{blue}{ 21 } \cdot \sqrt{6} = 21 \sqrt{6} $$$$ \color{blue}{ 1 } \cdot 54 = 54 $$ |
| ② | Divide numerator and denominator by $ \color{blue}{ 3 } $. |
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