Question
Answer
$$3^3\sqrt{1200}=540\sqrt{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3^3\sqrt{1200}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3^3\cdot20\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}27\cdot20\sqrt{3} \xlongequal{ } \\[1 em] & \xlongequal{ }540\sqrt{3}\end{aligned} $$ | |
| ① | $$ \sqrt{1200} =
\sqrt{ 20 ^2 \cdot 3 } =
\sqrt{ 20 ^2 } \, \sqrt{ 3 } =
20 \sqrt{ 3 }$$ |
| ② | $ 3 ^ 3 = 27 $ |
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