If `z=(1+i)^(3)/((2+i)(1+2i))` then find `|z|`

if z= (3-4i)/((4-2i)(1+i) then find Re(z).

If z= 1/((1+i)(1-2i)) , then |z| is

If z = frac((1+i)(1+sqrt3i)^2)(1-i) , find |z| , arg z and barz .

If z=(1+2i)/(2-i)-(2-i)/(1+2i), then what is the value of z^(2)+zbarz (i=sqrt(-1))

If z=(1)/(2)(i sqrt(3)-1), then find the value of (z-z^(2)+2z^(3))(2-z+z^(2))

If z=(1-i)^(6)+(1-i) , then find the modulus of z (i.e., |z|) and multiplicative inverse of z (i.e., z^(-1) ).

if z_(1) = 3i and z_(2) =1 + 2i , then find z_(1)z_(2) -z_(1)

let z_1 =1-2i, z_2 =1 and z_3 =3+4i. If z=((1)/z_1+(3)/z_2)(z_3)/z_2 : find |z| , barz and amp z.

if z_(1) =2+3i and z_(2) = 1+i then find, |z_(1)+z_(2)|