Question
Answer
$$18\cdot\dfrac{6}{\sqrt{3}}=36\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}18\cdot\frac{6}{\sqrt{3}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}18 \cdot \frac{6\sqrt{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{108\sqrt{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ }36\sqrt{3}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ 6 } \cdot \sqrt{3} = 6 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ \sqrt{3} } \cdot \sqrt{3} = 3 $$ |
| ② | $$ \color{blue}{ 18 } \cdot 6 \sqrt{3} = 108 \sqrt{3} $$$$ \color{blue}{ 1 } \cdot 3 = 3 $$ |
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