00:03
They asked us to find the complex roots of the square root of 9 using dimmover -raised theorem.
00:12
And you're probably looking at us and saying, wait a minute, we know that the square root of 9 is 3 and negative 3.
00:18
Those aren't complex numbers.
00:19
Well, technically they are because they have an imaginary coefficient of 0.
00:26
And so every real number is technically a complex number.
00:29
But if we're going to use demovra's theorem treating this as a complex number, the first thing we have to realize is where is nine on the real and the imaginary axis? well, since nine is just a real number, it's out here at nine on the real axis.
00:48
And so nine would have a radius of nine.
00:52
That's the distance from the origin that we have here.
00:57
And the angle that it makes with the positive real axis, since we're going along the axis, that angle is zero.
01:05
So we would have the cosine of zero plus i times a sign of zero.
01:12
I did a theta.
01:14
I don't want a theta.
01:15
I just want a zero...