Answer
$$6^4\sqrt{405}=11664\sqrt{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6^4\sqrt{405}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6^4\cdot9\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}1296\cdot9\sqrt{5} \xlongequal{ } \\[1 em] & \xlongequal{ }11664\sqrt{5}\end{aligned} $$ | |
| ① | $$ \sqrt{405} =
\sqrt{ 9 ^2 \cdot 5 } =
\sqrt{ 9 ^2 } \, \sqrt{ 5 } =
9 \sqrt{ 5 }$$ |
| ② | $ 6 ^ 4 = 1296 $ |
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