Square Roots When Normalizing Rotors

Last week, I showed that to normalize rotors, you must divide by the square root of the product of an even multivector times its reverse. But how do you actually calculate this?

Supporters:
David Johnston
Jason Killian
jerrud
Richard Penner
trb

[modolief]

I don't recall seeing this subject matter before.

[buchweiz]

Hi! I remember watching your long form videos on geometric algebra. I liked them a lot, but I feel that shorts don't really work for this topic. It's very tough to learn anything from them mostly because of the format itself. This is of course just my personal opinion, so you do you, and shorts are better than nothing at all.

[dakcom-mkmp]

Hello at what level we can study this?

[minerharry]

So is the normalization of a rotor unique? I ask because it feels like this square root is not unique. What do different normalizations of a rotor look like?

[dzuchun]

feels like complex square root

oh wait, it's because it actually is 😅

UPD: my bad, it's not. e0123^2 would need to be -1 for that