Question
Answer
$$(0.125+0.125i)^2=0$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(0.125+0.125i)^2& \xlongequal{ }(0.125+0i)^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}0+0i+0i^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}0\end{aligned} $$ | |
| ① | Find $ \left(0+0i\right)^2 $ using formula. $$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ 0 } $ and $ B = \color{red}{ 0i }$. $$ \begin{aligned}\left(0+0i\right)^2 = \color{blue}{0^2} +2 \cdot 0 \cdot 0i + \color{red}{\left( 0i \right)^2} = 00i0i^2\end{aligned} $$ |
| ② | Combine like terms: $$ 0 = 0 $$ |
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