Question
Answer
$$\sqrt{-25}\cdot\sqrt{-36}=-30$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\sqrt{-25}\cdot\sqrt{-36}& \xlongequal{ }\sqrt{25}\cdot i\sqrt{36}\cdot i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\sqrt{25}\cdot\sqrt{36}\cdot(-1) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-\sqrt{25}\cdot\sqrt{36} \xlongequal{ } \\[1 em] & \xlongequal{ }-5\cdot6 \xlongequal{ } \\[1 em] & \xlongequal{ }-30\end{aligned} $$ | |
| ① | $ i \cdot i = i^2 = -1 $ |
| ② | Put the minus sign in front of the result. |
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Simplify Radical Expression