For z=-4+-2i, find z·conjugate(z).
Note
For a complex number z = a + bi, multiplying by its conjugate gives z·conjugate(z) = a² + b². This is the square of the modulus, so it is always non-negative. Here a = -4 and b = -2. Therefore z·conjugate(z) = (-4)² + (-2)² = 16 + 4 = 20. So the correct answer is 20.
