$\"\"$

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Let $\"\"$ be any of the roots depicted.

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From the diagram radius of the circle is $\"\"$ .

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Since $\"\"$ lies on a circle of radius $\"\"$ , $\"\"$ .

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Consider the roots as $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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The root $\"\"$ can be represented by $\"\"$ .

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The root $\"\"$ can be represented by $\"\"$ .

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The root $\"\"$ can be represented by $\"\"$ .

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The root $\"\"$ can be represented by $\"\"$ .

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The roots in polar form are

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$\"\"$ , $\"\"$ ,

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

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$\"\"$

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Find the complex number.

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To find the complex number apply De Moivre’s Theorem to anyone of the root.

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De Moivre’s Theorem to find polar form of complex number : $\"\"$ .

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$\"\"$ .

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$\"\"$

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Complex number with the given roots is $\"\"$ .

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$\"\"$

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The roots in polar form are

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$\"\"$ , $\"\"$ ,

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

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Complex number with the given roots is $\"\"$ .