Math, asked by lokisylvie098, 10 hours ago

Find the square root & of -15- 8i​

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Answered by stuhari0167
2

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Answered by LaeeqAhmed
1

 \sqrt{ - 15 - 8i}

 \implies\sqrt{ - ( 15    +   8i)}

 \implies\sqrt{ - ( 16 - 1   +   2(4)(i))}

 \implies\sqrt{ - (  {4}^{2}     +   2(4)(i) +  {(i)}^{2}) }

 \implies\sqrt{ -   {(4 + i)}^{2} }

\implies \pm   {(4 + i)i}^{}

 \orange{\therefore \pm   (4i  - 1)}

HOPE IT HELPS!!

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