Question
Answer
$$15\cdot\dfrac{\sqrt{80}}{3}\sqrt{2}=20\sqrt{10}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15 \cdot \frac{\sqrt{80}}{3}\sqrt{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15 \cdot \frac{4\sqrt{5}}{3}\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{60\sqrt{10}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ }20\sqrt{10}\end{aligned} $$ | |
| ① | $$ \sqrt{80} =
\sqrt{ 4 ^2 \cdot 5 } =
\sqrt{ 4 ^2 } \, \sqrt{ 5 } =
4 \sqrt{ 5 }$$ |
| ② | $$ \color{blue}{ 60 \sqrt{5} } \cdot \sqrt{2} = 60 \sqrt{10} $$$$ \color{blue}{ 3 } \cdot 1 = 3 $$ |
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