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Colt1911 [192]
3 years ago
9

Find the cube roots of unity in standard form (a+bi). Use exact values.

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

by 1 before exponentiating. We write  

1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

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