If `z = (sqrt(5)+3i)`, find `z^(-1)`.

If z=(3-sqrt(7)i) , then find |z^(-1)| .

If z_(1)=sqrt(3)+i sqrt(3) and z_(2)=sqrt(3)+i then the complex number ((z_(1))/(z_(2))) lies in the

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

If z=5-3i, then find z-barz

If z=5-3i, then find z+barz

If z_(1)=(sqrt3-1)+(sqrt3+1)i and z_(2)=-sqrt3+i" ""find" " "arg z_(1) and argz_(2), hence, calculate arg(z_(1)z_(2)).

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

If z_(1)=sqrt(3)-i, z_(2)=1+i sqrt(3) , then amp (z_(1)+z_(2))=

If |z-1| = |z-5| and |z|=sqrt(13) then find |Im(z)|