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liberstina [14]
3 years ago
10

Find all the cube roots of cube roots

le="2 {e}^{2i\pi} " alt="2 {e}^{2i\pi} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

It is

1.26{e}^{ \frac{2i\pi}{3}}

Step-by-step explanation:

2 {e}^{2i\pi}

cube root:

=  \sqrt[3]{2 {e}^{2i\pi}}  \\  = ( {2 {e}^{2i\pi})}^{ \frac{1}{3} }  \\   =  {2}^{ \frac{1}{3} } ( {e}^{ \frac{2i\pi}{3} } ) \\  = 1.26{e}^{ \frac{2i\pi}{3}}

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<em>Refer to attached picture</em>

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