<PRE><B>Question 863512</B>
You would type sqrt( -44 ) to mean {{{sqrt(-44)}}} (sqrt is shorthand for square root)



{{{sqrt(-44) = sqrt(-1*4*11)}}} Factor -44 by factoring out -1 and factor 44 where one factor is a perfect square



{{{sqrt(-44) = sqrt(-1)*sqrt(4)*sqrt(11)}}} Break up the root using the rule {{{sqrt(x*y) = sqrt(x)*sqrt(y)}}}



{{{sqrt(-44) = i*2*sqrt(11)}}} Note: {{{i = sqrt(-1)}}} by definition



{{{sqrt(-44) = 2i*sqrt(11)}}} 


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