please help I have no idea what this means and I need the work to show how to do it

please help I have no idea what this means and I need the work to show how to do it

Here no plus or minus is there, then how could we able to find conjugate?

Consider complex numbers Za=1+i and Zb=u+vi where u<0<v. If S represents the area bounded by the origin, Za and Zb, find Arg(Zb) for which real(Zb) + Imag(Zb) = (2/root3)S

Find the nth roots of the complex number for the specified value of n: -17i, n=6

Find the nth roots of the complex number for the specified value of n. 2-2i, n=4

Find the fifth roots of the complex number: cos(5pi/4)+isin(5pi/4)

For some reason 1+i = root 2 * e ^ pi / 4 which i dont understand how so I would like an explanation for this...

How do you put the complex number -2+i into a form of e^{ix} ? with i = sqrt(-1) x= angle...

I'd greatly appreciate your help. Thank you for your time.

(12(cos 420 + i sin 420)) / (2(cos 120 + i sin 120)) Thank you for your time.

imaginary numbers. complex numbers.radicals. order in a solution

(-1+2i)(-5+3i) having trouble on this one, please show me step by step and the answer. Thank you so much. I appreciate it

A. Calculate the perimeter of the polygon whose vertices are the complex fourth roots of 1. B. Calculate the perimeter of the polygon whose vertices are the complex ninth roots of 1....

Multiply (-1+2i)(-5+3i) Write answer as a complex number in standard form

Multiply (3-i)(6-6i) Write answer as a complex number in standard form

multiply -i(-4+4i) write answer as a complex number in standard form

Multiply (-2 - 5i)(3+4i) write answer as a complex number in standard form. Thanks! :)

Given that: z=tan(α)+i, where 0<α<(1/2)*pi Find the absolute value of z in its simplest form. How the hell do I solve this?

Multiply (3-i)(6-6i) write answer as a complex number in standard form

if y=x²+x-4, evaluate y given x=2i. this is the first time I have seen this so I am unsure how to proceed.