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Plasmataco
 one year ago
what is the sqrt of i(imaginary)
Plasmataco
 one year ago
what is the sqrt of i(imaginary)

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Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0ppl... @jim_thompson5910 @dan815

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0@dan815 ? ur like the smartest guy ever so...

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0tied for @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so you're asking why this is true? \[\Large \sqrt{i} = \sqrt[4]{1}\]

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0no, what does it equal.

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0is there like a different letter for that?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I just said it \(\LARGE \sqrt{i}\) is equal to \(\LARGE \sqrt[4]{1}\)

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0but to reduce it without a radical sign.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0\[\Large \sqrt{i} = \sqrt{\sqrt{1}}\] \[\Large \sqrt{i} = \sqrt{(1)^{1/2}}\] \[\Large \sqrt{i} = ((1)^{1/2})^{1/2}\] \[\Large \sqrt{i} = (1)^{1/2*1/2}\] \[\Large \sqrt{i} = (1)^{1/4}\] \[\Large \sqrt{i} = \sqrt[4]{1}\]

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0Im sry i might be asking the impossible.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0You can either write it with a fractional exponent, or as a radical. I don't think it's possible to do it any other way

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer to your question is \[\frac{1+i}{\sqrt 2}\]

Plasmataco
 one year ago
Best ResponseYou've already chosen the best response.0oh. sry afk but thx!

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \sqrt{i}=\frac{1+i}{\sqrt{2}}\) but why not also \(\large \frac{1+i}{\sqrt{2}}\)?? \(\large\sqrt{e^{i \frac{\pi}{2} + 2n \pi}} = e^{i \frac{\pi}{4} + n \pi} = e^{i \frac{\pi}{4}}, e^{i \frac{5\pi}{4}}\) dw:1442740104302:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's also true, of course. I was answering the question in the same way that one might say "The square root of nine is three". If we're being strict about it, the radical sign should not be used in this context because it only applies to positive, real numbers. It should be written something like \[ i^{1/2} =\left\{ \frac{(1+i)}{\sqrt{2}} , \frac{1+i}{\sqrt{2}} \right\}\] \(\sqrt{i},\sqrt{1}\), and other things like that don't actually make sense.
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