#complex number q
11 messages · Page 1 of 1 (latest)
well if you want to find to find the square root of 2+iroot5
you could say this complex number squared is 2+iroot5
so if you let the complex number be x +iy
then (x+iy)^2= 2 + iroot5
x^2 +2ixy -y^2= 2 + iroot5
Then you can say x^2-y^2 = 2 because thats the real part of the equation
and that means 2xy=root5 because its the imaginary part
then you can just solve simultaneously
to find the numbers