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You should write this in polar notation, i.e., with an angle. Visualize the imaginary axis as being 90° from the real axis. Thus, 6i = 6 (angle) 90°, that is, it has an absolute value of 6, and is at an angle of 90°. The main square root of that is equal to the square root of 6 (angle) 45°. To get the other square root, add 180° degrees to that angle (same absolute value). Now, use your calculator's polar-->rectangular conversion to separate that into real and imaginary parts (if that's what you want).

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Q: What are the square roots of 6i?
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