I was doing some reading through the forum and noticed a question about De Moivre's theorem and realized that I don't know how to find r at all.
I was wondering why the radius is 2 when you take the absolute value of (sqrt3 + i)
I was doing some reading through the forum and noticed a question about De Moivre's theorem and realized that I don't know how to find r at all.
I was wondering why the radius is 2 when you take the absolute value of (sqrt3 + i)
You could be required to calculate the "modulus" of a complex number.
On an Argand Diagram, a complex number's "modulus" is it's distance from the origin $\displaystyle (0,0)$.
Pythagoras' theorem calculates this
[you can draw a right-angled triangle with hypotenuse being the line from $\displaystyle (0,0)$ to $\displaystyle z$].
$\displaystyle z=a+ib$
$\displaystyle r^2=|z|^2=a^2+b^2\Rightarrow\ |z|=r=\sqrt{a^2+b^2}$
For any further questions you might have, I find this video to be very informative:
YouTube - The Polar Form of Complex Numbers