Question
Answer
$$(-4+2\cdot2^{0.5}i)^{0.5}=1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-4+2\cdot2^{0.5}i)^{0.5}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(-4+2\cdot1i)^{0.5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}1\end{aligned} $$ | |
| ① | A non-zero polynomial raised to the power of 0 equals 1. |
| ② | A non-zero polynomial raised to the power of 0 equals 1. |
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