Square root of i, explained Bob Ross style

Solving sqrt(i) from the comfort of my garden on a 35°C Australian summer day
*wipes sweat from brow*

[tibees]

Featuring Henry the cat and Timmy the toad. Since I'm showing all solutions in the complex plane I'm really finding z where z^2-i=0

[anikazk]

"talent is just pursued interest, anything you practice you can do" thank you so much for these lines

[bigburd]

Tibees: *performs math that is utterly incomprehensible to me*
Me: "ah yes of course"

[lyrimetacurl]

If you've watched Spongebob, you know to draw a perfect circle, first you draw a detailed image of a head and then you rub out everything except the circle, then you have it :)

[MathAdam]

1:12 "Real friends can be complex too." Too true!

[milangorgevski]

2:54 and just beat the Euler out of it. XD

[jattstud]

Your calm and composure are your best assets for teaching complex topics. Keep at it, the world needs more teachers like you!!

[ickimadrasi]

You are the most pleasant instructor ever

[leo]

I don't even know why I'm watching all these math and physics videos on Youtube lately but there's something very satisfying about math and physics. I think the fact that it's so difficult for me to wrap my head around all these equations and formula's and I really want to understand it, is what is increasing my interest in it. Oh and your videos are just fun to watch. Keep it up!

[WXUZT]

Wish I was taught my STEM courses by this type of instructor. So nicely explained. Thank You !

[biggtk]

As someone who has recently failed Trigonometry (due to medical reasons/class absences), I'm just proud that I understand everything that Tibees explained, including the graphical, quadratic, and trigonometric solutions. *phew*

[KibaNoTsubasa]

I can't help but smile in response to that face on the board.

Edit: "Just beat the Euler out of it;" I lost it after that.

[tombufford]

Very pleased to have you walking with me through this complexity !

[Hassony]

She looks like a 1890 Texan farmer girl with that hair style..





I love it!

[davedave]

It really helps when a teacher is pleasant, calm, and doesn't rush through explanations.

[cawfeedawg]

You are a genius.. this is the first time in my life that I found math relaxing!

[Medinalaura]

I’m so confused yet I feel so calm after watching your videos

[timthompson]

Great video. I always had a mental block when learning complex numbers, since I was told since 3rd grade that a negative times a negative or a positive times a positive was a positive number, then i was introduced at the outset as the square root of negative one. “That does not compute!” It was a while before I could see that complex numbers were just a mathematical tool that broadened the application of mathematics (at least that’s the way I rationalize it now). So far, I’ve never run into the square root if i, but, if I do, I’ll know how to handle it. Thank you very much for your efforts. You’re a great teacher.

[iceboxchamberlain]

This channel just inspires me so much to keep studying :-)

[nujuat]

The fundamental theorem of algebra implies that every square root needs a friend.











*cries*