Scootaloo *head explodes  
Applebloom: ah don’t get it… ooohhh, now I get- head explodes

Imaginary and complex numbers become a little easier to understand if you think of the complex plane as a Cartesian grid, with real numbers as the X values and imaginary numbers as the y values

< ( theodore, old fellow, have you heard of the vector mathematics? )  
( utterly preposterous, geoff! numbers cannot have two dimensions! ) >  
< ( I agree heartily! we shall never use vector mathematics as long as we live! )  
( oh dear, this problem would really be solvable if numbers had two dimensions. ) >  
< ( well—that’s—but… aha! that’s not really two dimensions! it’s just number a added to number b, with b multiplied by florb! )  
( florb? ) >  
< ( it’s an undefined thingy that has no numerical equivalent, so a and b can never be combined, if you multiply b by it. )  
( brilliant! now we can pretend we’re not using the vector (a,b), write it like a + b * florb, and no one will suspect we stooped to using vector mathematics! ) >  
< ( we mathemeticians are pretty brilliant, aren’t we? )

I’ve never been a fan of that notation. It’s confusing and misleading. If zⁿ = -1 has n solutions, why pick an arbitrary one and designate it as the ⁿ√(-1)? Indices (z₁ = i, z₂ = -i) and set notation (z ∈ {-i, i}) both feel like better choices for what you’re trying to convey.
 
Now that that’s out of my system, on to the important things. Scoots looks incredibly adorable in this picture.

@ArcaneTesla  
As real as her ability to reach that high with her wings.

Корень из минус одного равен мнимой единице.√-1 = i. Да здравствуют комплексные числа!

:(