The square root of negative one is an imaginary number named` i`

. I presume most you already know that. One of the most famous results in all of mathematics is this little fact about some of our favorite constants:

`e`

^{iπ} = -1

Here's a lesser known but equally stunning little fact about our friend: `i`

has a real numbered answer (well, infinitely many, if you want to be technical about it, but I'm going to skirt that issue.) Yes, it's true. ^{i} `i`

equals about 0.2. Ask google. See for yourself.^{i}

It's fairly trivial to show, actually:

`e` |
Euler's Identity |

`e` |
take the square root of both sides. |

`e` |
raise both sides to the i^{th} power. |

`e` |
because ii = -1 |

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