Question

/Find the complex fourth root of 100 - 100 sqrt 3 i

Answer 1

write in trig form first

Answer 2

What is the trig form?

Answer 3

\(r\left(\cos(\theta)+i\sin(\theta)\right)\)

Answer 4

\(r=\sqrt{a^2+b^2}=\sqrt{100^2+100^2}=100\sqrt2\)

Answer 5

and in this case \(\theta=-\frac{\pi}{3}\) or if you are working in degree \(-60\)

Answer 6

or maybe even \(300\) degrees

Answer 7

ok, I have the trig form. From there what? The sqrt3 i?