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)
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
Title
I over-ate.