Determine whether the statement, "My work with complex numbers verified that the only possible cube root of 8 is 2.", makes sense or does not make sense, and explain your reasoning.

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Determine whether the statement, &quot;My work with complex numbers verified that the only possible cube root of 8 is 2.&quot;,  makes sense or does not make sense, and explain your reasoning.

venenolundicoofw · Accepted Answer

NO, The given statement do not make any sense that the only possible of cube root of 8 is 2 while working with complex numbers.  According to De Moivre’s theorm of complex numbers, the cube root of any complex number must contain one real root and two complex/imaginary roots.  Therefore, for the given question stem there should have three roots.  One Real and two complex conjugates.

Determine whether the statement, "My work with complex numbers verified that the only possible cube...

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