Question
Answer
$$-\sqrt{81}+\sqrt{-64}+\sqrt{9}+\sqrt{-100}=-9+\sqrt{-64}+3+10i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\sqrt{81}+\sqrt{-64}+\sqrt{9}+\sqrt{-100}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-9+\sqrt{-64}+3+\sqrt{-100} \xlongequal{ } \\[1 em] & \xlongequal{ }-9+\sqrt{-64}+3+\sqrt{100}\cdot i \xlongequal{ } \\[1 em] & \xlongequal{ }-9+\sqrt{-64}+3+10i\end{aligned} $$ | |
| ① | $$ - \sqrt{81} = -1 \cdot 9 = -9 $$ |
| ② | $$ \sqrt{9} = 3 $$ |
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