Find the square root of 5+12i.

Asked by friendship | 10th Oct, 2010, 02:50: PM

Expert Answer:

=x+iy
squaring we get
5+12i=x2-y2+2xyi
comparin we get
5=x2-y2
6=xy
so
y=
solving we get
x=3 or x =-3
so y=2 or y=-2
so = 3+2i or -3-2i
note that x and y should have the same sign to adhere to the equation xy=6

Answered by  | 11th Oct, 2010, 11:47: AM

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