Problem

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

Solution

Step 1 :\( z = \sqrt{16i} \)

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

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

From Solvely APP
Source: https://solvelyapp.com/problems/8945/

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