So under the square root number is a negative 8. Should be 2*sqr root of 2. How to they get there? Where does imaginary symbol go usually? Any video links,sites, diagrams will be helpful plz.

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- Feb 22nd 2013, 04:00 PMMelcarthusHow to find square root of imaginary number? Test Monday.
So under the square root number is a negative 8. Should be 2*sqr root of 2. How to they get there? Where does imaginary symbol go usually? Any video links,sites, diagrams will be helpful plz.

- Feb 22nd 2013, 04:03 PMchiroRe: How to find square root of imaginary number? Test Monday.
Hey Melcarthus.

The simplest answer is to use the polar form of a complex number and use the rules of exponentiation.

Complex number - Wikipedia, the free encyclopedia - Feb 22nd 2013, 04:12 PMEducatedRe: How to find square root of imaginary number? Test Monday.
This is one of the first things you should have learnt when studying imaginary numbers...

$\displaystyle \sqrt{-8} = \sqrt{8} \cdot \sqrt{-1} = \sqrt{8}i = 2 \sqrt{2}i$

The i is not under the square root.

The title is also quite misleading. You are trying to find the square root of a negative number, not the square root of an imaginary number. It's more complicated when you are trying to find the square root of an imaginary number. - Feb 23rd 2013, 08:14 AMMelcarthusRe: How to find square root of imaginary number? Test Monday.
I got it after morning practice. :)(Happy)

- Feb 23rd 2013, 08:36 AMPlatoRe: How to find square root of imaginary number? Test Monday.