The square root of negative 1 is "i". The "i" referrs to an imaginary number. When you square a number (e.g. 2^2 ) the result will always be positive. This is because you are multiplying the number with itself, and a negative number multiplied by another negative number will be positive. So -2 * -2 = 4, -3 * -3 = 9, and so on.
A square root is the inverse of this. It attempts to find what the original number was that was squared, so sqrt(4) = 2, sqrt(9) = 3, and so on. However, what do you do if you have sqrt(-4)? There's no way for a square to result in a negative number, so the result must be imaginary. So sqrt(-4) = 2i, sqrt(-9) = 3i, and so on. As such, sqrt(-1) = i.
For the next part, when you divide one number by another, it is sometimes referred to as [first number] over [second number].
Finally, 8, well, sounds like "ate".
So sqrt(-1)/8 = i/8 = i over eight= I over ate.
(Sorry if this came off as condescending near the end, I'm trying to be thorough in case you aren't a native English speaker)
27 Comments
fossilesque@mander.xyz · 54 pts · 2y
Melkath@kbin.social · 12 pts · 2y
Thanks for making sure to keep the dumbos included but still making us work just a little to be included.
TheEntity@kbin.social · 4 pts · 2y
I still don't get it. Any help?
MossyFeathers@pawb.social · 36 pts · 2y
The square root of negative 1 is "i". The "i" referrs to an imaginary number. When you square a number (e.g. 2^2 ) the result will always be positive. This is because you are multiplying the number with itself, and a negative number multiplied by another negative number will be positive. So -2 * -2 = 4, -3 * -3 = 9, and so on.
A square root is the inverse of this. It attempts to find what the original number was that was squared, so sqrt(4) = 2, sqrt(9) = 3, and so on. However, what do you do if you have sqrt(-4)? There's no way for a square to result in a negative number, so the result must be imaginary. So sqrt(-4) = 2i, sqrt(-9) = 3i, and so on. As such, sqrt(-1) = i.
For the next part, when you divide one number by another, it is sometimes referred to as [first number] over [second number].
Finally, 8, well, sounds like "ate".
So sqrt(-1)/8 = i/8 = i over eight= I over ate.
(Sorry if this came off as condescending near the end, I'm trying to be thorough in case you aren't a native English speaker)
TheEntity@kbin.social · 9 pts · 2y
It seems I was only having trouble with the connecting "eight" to "ate", but damn, this is a solid explanation of the other parts too!
Hjalamanger@feddit.nu · 4 pts · 2y
Thank you! I only got as far as i divided by 8... But now I kinda get it (-: |>
ChaoticNeutralCzech@feddit.de · 4 pts · 2y
Very thorough. Iβll just add stylization: ββΜ 1Μ β=βπ
Edit: minus
glibg10b@lemmy.ml · 3 pts · 2y
Forgot the minus
Hereforpron2@lemmynsfw.com · 4 pts · 2y
Square root of -1 is called i because it's an imaginary number
Hereforpron2@lemmynsfw.com · 1 pts · 2y
Square root of -1 is called i because it's an imaginary number butl gets used often
Melkath@kbin.social · 0 pts · 2y
Thanks for giving the last piece of the answer so everyone can be included, and those who didn't know can learn.
Hereforpron2@lemmynsfw.com · 1 pts · 2y
Just wish I could remember the spoiler formatting haha
SomeoneSomewhere@lemmy.nz · 3 pts · 2y
::: spoiler Title I over-ate. :::
Bebo@literature.cafe · 2 pts · 2y
Finally figured out after repeating it 2-3 times in my mind. Before that I was like what has i by 8 got to do with thanksgiving.
Thwompthwomp@lemmy.world · 34 pts · 2y
j eighth? J over 8? It took me an embarrassingly long time to remember to use i :(
Isoprenoid@programming.dev · 41 pts · 2y
Spot the electrical engineer.
ada@lemmy.blahaj.zone · 14 pts · 2y
I'm pretty sure
everyoneAmericans says this after thanksgivingfossilesque@mander.xyz · 6 pts · 2y
PoisonedPrisonPanda@discuss.tchncs.de · 9 pts · 2y
Probably yes.
But I think he wanted to highlight that we do no have such feast here in Europe.
ada@lemmy.blahaj.zone · 7 pts · 2y
She
Australia
PoisonedPrisonPanda@discuss.tchncs.de · 1 pts · 2y
My apologies dear mate.
fossilesque@mander.xyz · 3 pts · 2y
Oisteink@feddit.nl · 0 pts · 2y
You see those portions only look huge from far away. For Americans itβs just right (their ideal body is Trump)
Treczoks@kbin.social · 3 pts · 2y
Only those who didn't sleep during math.
philoneous@lemmy.world · 13 pts · 2y
0.125i ?!?
quindraco@lemm.ee · 4 pts · 2y
125iE-3
stebo02@sopuli.xyz · 4 pts · 2y
that's a pretty unconventional place to put the i no?
it would be either i125e-3 or 125e-3*i
Chais@sh.itjust.works · 9 pts · 2y
Took me a sec.
crawancon@lemm.ee · 4 pts · 2y
(rd(r^2)
elvith@feddit.de · 2 pts · 2y
Imaginary? But it feels so real!
Starglasses@lemmy.blahaj.zone · 1 pts · 2y