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\[i = \sqrt{-1}\]

yes then??

\[i=\sqrt{-1}\]
\[i^2 = (\sqrt{-1})^2 = -1\]

yes but what about this one

|dw:1350311105247:dw|

|dw:1350311152497:dw|

I believe
\[\sqrt{ab}= \sqrt{a}\sqrt{b}\] only applies if a and b are both nonnegative

true,,i was about to write that only..

I actually looked it up to be sure :P

hmm
|dw:1350312680888:dw|

sqrt(1) is only +1 and not -1 @zakaullahUET

sqrt is a +ve func..

not necessary a function @shubhamsrg ? can b just a relation
a*a=(-a)*(-a)