OK, first things first, I am not a university student in math, or anything. I am actually still in high school. I am very interested in math, even, say, too interested for my level :)(adsbygoogle = window.adsbygoogle || []).push({});

Well, yesterday I learned, on the internet, about the imaginary numberi(Being [tex]\sqrt{-1}[/tex]) and I read about it having no occurrence in nature. Well, I, in a couple of minutes of thinking, gave it a meaning. Maybe an expert can say how this doesn't make sense, that's why I came here to talk about this.

Say you are a sanity inspector. You have a little contraption that calculates the amount of water in the sewers. There is, say, 100 litres of clean water all the time, and the rest is waste water. Well, you know that a house produces constantly 10 litres of waste water. So that way, you can know how many houses are in your city with (x-100)/10, x being the amount of water in the sewers. Now, you know that in this particular city, houses are placed in a square grid. You are interested in the amount of houses on one side of that grid, so you may use [tex]\sqrt{(x-100)/10}[/tex] to find out that piece of information.

Imagine now that there is a leakage in the sewers. We lose 100 litres of water, and we have, say, 9 houses, so (x-100)/10 is equal to -1 (because the amount of water in the sewers dropped to 90 litres, being the amount of waste water produced by 9 houses). Well, you blindly continue, and get [tex]\sqrt{-1}[/tex] as the amount of houses on one side of the grid. We can replace that withito make things simpler. Now, you cannot countihouses. You cannot seeihouses. Soimust be a different quantity.ican actually be defined by 10 houses worth of leakage. Soiis actually an answer to another question than the one you asked. And therefore,iis a concrete, naturally occurring object.

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# Giving i a concrete meaning

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