Question
Answer
$$\dfrac{6}{\sqrt{2}}\cdot2=6\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{6}{\sqrt{2}}\cdot2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{6\sqrt{2}}{2}\cdot2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{12\sqrt{2}}{2} \xlongequal{ } \\[1 em] & \xlongequal{ }6\sqrt{2}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ 6 } \cdot \sqrt{2} = 6 \sqrt{2} $$ Simplify denominator. $$ \color{blue}{ \sqrt{2} } \cdot \sqrt{2} = 2 $$ |
| ② | $$ \color{blue}{ 6 \sqrt{2} } \cdot 2 = 12 \sqrt{2} $$$$ \color{blue}{ 2 } \cdot 1 = 2 $$ |
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