Question

3. If z²= -i, then is it true that z = +-1/√2(1-i)
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Answer 1

Answer:

$\left. \begin{array} { l } { z = + or \: - \sqrt { - i } = + \: or \: - \sqrt { \frac { 1 ^ { 2 } + i ^ { 2 } - 2 i } { 2 } } } \\ { = + \sqrt { \frac { ( 1 - i ) ^ { 2 } } { 2 } } = \frac { 1 } { \sqrt { 2 } } ( 1 - i ) } \end{array} \right.$

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