Let z = −2√3 + 6ia) Express z|z| in polar form.b) Determine z4
8 in polar form, in terms of its principal argument.

a) To express z in polar form, we first need to find the magnitude (r) and the argument (θ) of z.

The magnitude of z is given by |z| = √((Re(z))^2 + (Im(z))^2) = √((-2√3)^2 + (6)^2) = √(12 + 36) = √48 = 4√3.

The argument of z is given by θ = atan(Im(z)/Re(z)) = atan(-6/-2√3) = atan(√3/2) = π/3.

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