Problem

Find the square root of
$16 i$
that graphs in the first quadrant.
$[?] (\cos []^{\circ} + i \sin []^{\circ})$

Answer

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Answer

$z = \pm 4 e^{i (\frac{π}{4} + k π)}$

Steps

Step 1 ： $z = \sqrt{16 i}$

Step 2 ： $16 i = 16 e^{i (\frac{π}{2} + 2 k π)}$

Step 3 ： $z = \pm 4 e^{i (\frac{π}{4} + k π)}$

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