Question
Answer
$$3^7\sqrt{10668672}=1102248\sqrt{42}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3^7\sqrt{10668672}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3^7\cdot504\sqrt{42} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2187\cdot504\sqrt{42} \xlongequal{ } \\[1 em] & \xlongequal{ }1102248\sqrt{42}\end{aligned} $$ | |
| ① | $$ \sqrt{10668672} =
\sqrt{ 504 ^2 \cdot 42 } =
\sqrt{ 504 ^2 } \, \sqrt{ 42 } =
504 \sqrt{ 42 }$$ |
| ② | $ 3 ^ 7 = 2187 $ |
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