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I'm important in geometry
If you add a letter, you get the German translation
If you re-order the letters of the English word and add brackets () and multiply, it becomes imaginary
If you re-order the letters of the German word and add brackets () and multiply, it becomes real

Find the word with the above properties.

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  • $\begingroup$ What's "Englisch"? $\endgroup$ – Scratch---Cat Aug 2 at 10:05
  • $\begingroup$ It's a typo - I corrected it $\endgroup$ – ThomasL Aug 2 at 13:03
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A line!

This is because

1. Lines are quite important in geometry...

2. linie is the German translation of "line"

3. $i \cdot \ln(e)=i$ which is imaginary

4. $i \cdot i \cdot \ln(e)=-1$ which is real!

| improve this answer | |
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  • $\begingroup$ perfect answer! $\endgroup$ – ThomasL Aug 1 at 21:10

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