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)
Answer:
::: spoiler spoiler i over eight. :::
Thanks for making sure to keep the dumbos included but still making us work just a little to be included.
I still don't get it. Any help?
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)
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!
Thank you! I only got as far as i divided by 8... But now I kinda get it (-: |>
Very thorough. I’ll just add stylization: √−̅1̅ = 𝑖
Edit: minus
Forgot the minus
Square root of -1 is called i because it's an imaginary number
Square root of -1 is called i because it's an imaginary number butl gets used often
Thanks for giving the last piece of the answer so everyone can be included, and those who didn't know can learn.
Just wish I could remember the spoiler formatting haha
::: spoiler Title I over-ate. :::
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.
j eighth? J over 8? It took me an embarrassingly long time to remember to use i :(
Spot the electrical engineer.
I'm pretty sure
everyoneAmericans says this after thanksgivingAmericans say this after every giant fucking portion.
Probably yes.
But I think he wanted to highlight that we do no have such feast here in Europe.
She
Australia
My apologies dear mate.
Listen, I'm an American in the UK and they do Thanksgiving Dinner every Sunday here. It's kind of great.
You see those portions only look huge from far away. For Americans it’s just right (their ideal body is Trump)
Only those who didn't sleep during math.
0.125i ?!?
125iE-3
that's a pretty unconventional place to put the i no?
it would be either i125e-3 or 125e-3*i
Took me a sec.
(rd(r^2)
Imaginary? But it feels so real!