Question

. Let z = (sq rt 3) – i and w = -2 – 2 i .
Calculate z^2. Express your answer in rectangular (a + bi) form.

Answer 1

z^2 = 3-1-2sqrt3 x i
= 2-2sqrt3 i

Answer 2

@sachinrajsharma caculate w^4 express answer in polar (r(costheta+isintheta)

Answer 3

w^2 =-( 4-4-8i) = 8i
w^4 = (8i)^2 = -64
= -64+0i
r = sqrt(64^2-0i^2) = 64
arctan(y/x) =arctan(0/64) = 0 value of theta = 0
=> polar form is = 64(cos 0 +isin0)