Question
Answer
$$3\cdot\dfrac{\sqrt{128}}{2}=12\sqrt{2}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3 \cdot \frac{\sqrt{128}}{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3 \cdot \frac{8\sqrt{2}}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{24\sqrt{2}}{2} \xlongequal{ } \\[1 em] & \xlongequal{ }12\sqrt{2}\end{aligned} $$ | |
| ① | $$ \sqrt{128} =
\sqrt{ 8 ^2 \cdot 2 } =
\sqrt{ 8 ^2 } \, \sqrt{ 2 } =
8 \sqrt{ 2 }$$ |
| ② | $$ \color{blue}{ 3 } \cdot 8 \sqrt{2} = 24 \sqrt{2} $$$$ \color{blue}{ 1 } \cdot 2 = 2 $$ |
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