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Complex numbers help

Let F : C → C be the function defined by F(z) = z^2
Is F
a) injective? Is it surjective?

can someone help me for the surjective part
(b) Find a number w ∈ C satisfying F(w) = 2i.

have no clue where to start for b
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RichE
15
Original post by eulers number
Let F : C → C be the function defined by F(z) = z^2
Is F
a) injective? Is it surjective?

can someone help me for the surjective part
(b) Find a number w ∈ C satisfying F(w) = 2i.

have no clue where to start for b


For both bits of this you're best off writing complex numbers in polar form.

r(cos⁡θ+isin⁡θ) r(\cos\theta + i \sin\theta)

or

reiθ r e^{i\theta}

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