Find the square root of negative numbers

In this video, I find the square root of negative numbers. Technically there is not a square root for negative numbers so you can multiply the square number by the square root of negative 1.
The square root of negative 1 equals i.
For example, the square root of negative four equals 2i

[mrs.davies]

Don't forget that there are actually two solutions, +2i and -2i.

[teos]

THANK YOU, DEAR GOD NOT EVEN KHAN ACADEMY AND 100 OTHER YOUTUBERS COULD EXPLAIN IT LIKE YOU DID YOU SAVEEED MEEEE!

[shuriknz]

Not only are you left handed but you also hold the pen differently

[ahmadhamza]

watched like 20 videos and couldnt understand anything, now i watched your video and i feel like i am a professor
thank u so much for making it super easy

[upsidedownChad]

I don't get why school didn't teach that. It's so simple when you explain it!

[oubrioko]

Completely off topic... but his handwriting technique in drawing the number: *_4_* is oddly unique

[klipse]

I actually thought that I was the only one who hold a pen like that

[_perryperry]

is it the same with having the negative sign outside of the radical sign?

[gosbeemaya]

It seems too easy... I think I'm doing it wrong 😂

[scientificmultiverse]

Can you make a video on my friction react or work
For example I am sliding a book after sometime it stop because of friction force is reacting on opposite side

So my question why this force works

[y.j.]

Thank you so much. You're a great teacher, I wish you'd teach me all my math.

[scientificmultiverse]

First viewer BTW can you tell what is the use of f (x) big fan

[mihaleben]

All of them are imaginary as in this would never happen anyways so its realy fitting

[lily]

what about for a number that's not a perfect square? like the answer would be a decimal number.
for example, what is √-43?
how would you solve that?

[jalmyral]

just square root it as positive number then make it negative and add "i" lol

[Reino_X]

Sqr root of -1 is actually 1 * -1 but it is impossible to express this in a single number... maybe something like ±1

[helenzhao]

Do regular surd rules still apply?
So...
sqrt(-54) = sqrt(54)xsqrt(-1)
= 3sqrt(6)i

[OneRandomFox]

great video, but can someone explain to me why they chose i and not anything else?