Question
Answer
$$\sqrt{2}\cdot\dfrac{12}{\sqrt{3}}=4\sqrt{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{2}\cdot\frac{12}{\sqrt{3}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\sqrt{2}\cdot\frac{12\sqrt{3}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{12\sqrt{6}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ }4\sqrt{6}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ 12 } \cdot \sqrt{3} = 12 \sqrt{3} $$ Simplify denominator. $$ \color{blue}{ \sqrt{3} } \cdot \sqrt{3} = 3 $$ |
| ② | $$ \color{blue}{ \sqrt{2} } \cdot 12 \sqrt{3} = 12 \sqrt{6} $$$$ \color{blue}{ 1 } \cdot 3 = 3 $$ |
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