$\"\"$

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The complex number is $\"\"$ .

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Convert the complex number into polar form.

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Compare the complex number with $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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The angle is $\"\"$ .

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$\"\"$

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The polar form of $\"\"$ is $\"\"$ .

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$\"\"$

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Find the sixth roots of $\"\"$ .

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Theorem :

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If $\"\"$ is a positive integer, the complex number $\"\"$ has exactly $\"\"$ distinct complex $\"\"$ roots.

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The complex roots are $\"\"$ , where $\"\"$ .

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The complex sixth roots of $\"\"$ are $\"\"$ .

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Where $\"\"$ and $\"\"$ .

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$\"\"$

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The six complex roots are : \ \

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Substitute $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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Substitute $\"\"$

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$\"\"$

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The complex sixth roots of $\"\"$ are $\"\"$ and $\"\"$ . \ \

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$\"\"$

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Graph :

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Graph the complex number $\"\"$ is,

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$\"\"$

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$\"\"$

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The six complex roots of $\"\"$ are $\"\"$ and $\"\"$ .

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Graph the complex number $\"\"$ is

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$\"\"$ .