whats the sum of the square root of -2 and the square root of -18

whats the sum of the square root of -2 and the square root of -18

Show all work

what is the most significant way of finding the cube root of a complex number?

Nba basketball legend Michael Jordan had a 48in. vertical leap. suppose that Michael jumped from ground level with an initial velocity of 16ft/sec. Michaels height h (in feet) at a time t seconds...

(1+w)7 = A+Bw

(a) If cos(Θ+i*Φ)=R(cosα+i*sinα),prove that e2Φ=sin(Θ-α)/sin(Θ+α) (b) if u=log(tan(Π/4+Θ/2)),prove that Θ=-i*log(tan( (Π/4) + (i*u)/2))

Around 0? And what is the radius of convergence? (And the domain of the function?)

Which of the following is a solution to the equation z3 = (1 + √3i) ? (A) 21/3[cos(23π/18) + i sin(23π/18)] (B) 21/3[cos(8π/9) + i sin(8π/9)] (C) 21/3[cos(17π/18) + i sin(17π/18)...

have to find x and y values. Being i an imaginary number

Struggling with this question.

|Z-1| <= |Z-i| and |z-2-2i|<= 1. Sketch the region in the argand Diagram which contains the point P representing z. If P describes the boundary of this region, find the value of z. If P describes...

Let z1 and z2 be two complex numbers such that (z1-2z2)/(2-z1*conjug(z2)) is unimodular. If z2 is not unimodular, then find |z1|

∑ ( 1/( (5i)^n + n) )

If tan(Θ+i*Φ)=tanα+i*sec(α) Show that e2Φ=±cot(α/2) and 2Θ=(n+1/2)*Π+α

if tan(x+i*y)=A+i*B Show that A/B=sin(2*x)/sinh(2*y)

i want the invention of it.

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

part1. Let z=rcisθ where 0<θ<pi. show that Arg(z^2)=2θ. part2. sketch the region defined by {z: Arg(z^2)>pi/2} in the answers it shows region pi/4 to pi/2 and region 5pi/8...

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

Show that f(z)=[sin(PI/z)]/(z+2) is nowhere analytic for |z|<a , where a is a some positive number. Can you help me to solve this problem?