Question
Answer
$$(-5\sqrt{-3})\sqrt{8}=-5\sqrt{3}i\cdot2\sqrt{2}$$
Explanation
| $$ \begin{aligned}(-5\sqrt{-3})\sqrt{8}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(-5\sqrt{-3})\cdot2\sqrt{2} \xlongequal{ } \\[1 em] & \xlongequal{ }-5\sqrt{3}i\cdot2\sqrt{2}\end{aligned} $$ | |
| ① | $$ \sqrt{8} =
\sqrt{ 2 ^2 \cdot 2 } =
\sqrt{ 2 ^2 } \, \sqrt{ 2 } =
2 \sqrt{ 2 }$$ |
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