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You can, but the process is slightly complicated, because addition in the Complex field is like vector addition.

If z1 = (r1, a1), and If z2 = (r2, a2)

Then, if z = (r, a)

r = sqrt(r12 + r22)

and

a = arctan[(r1sina1 + r2sina2)/(r1cosa1 + r2cosa2)]

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Q: Why can't we add complex number in polar form?
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