Question

If z1 z2 z3 are any three distinct complex numbers such that |z1|=1 |z2|=2 |z3|=4, arg(z2)=arg (z1)-π and arg(z3)=arg(z1)+π/2 then z2×z3 is equal to​​

Answer 1

Answer:

216 + 5√3125 (fifth root of 3125) + ∛ 343 - √121

Answer 2

Answer:

f z1 z2 z3 are any three distinct complex numbers such that |z1|=1 |z2|=2 |z3|=4, arg(z2)=arg (z1)-π and arg(z3)=arg(z1)+π/2 then z2×z3 is equal the Divider