SOLUTION: {{{sqrt(i)}}} in standard form?

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Question 1083657: sqrt%28i%29 in standard form?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
sqrt%28i%29 has two values:


1) s%5B1%5D = sqrt%282%29%2F2+%2B+i%2A%28sqrt%282%29%2F2%29%29,   and 


2)  s%5B2%5D = -sqrt%282%29%2F2+-+i%2A%28sqrt%282%29%2F2%29.


Notice that s%5B2%5D = -s%5B1%5D.


The two roots are the opposite complex numbers.


There is a bunch of my lessons on complex numbers
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number
    - Solution of the quadratic equation with real coefficients on complex domain
    - How to take a square root of a complex number
    - Solution of the quadratic equation with complex coefficients on complex domain

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
    - Solved problem on taking square root of complex number
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".