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    Euler's formula - square root of i

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    Calculate the square root of i using a direct method and show that using Euler's formula yield the same result.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:36 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/eulers-formula-square-root-31390

    Solution Preview

    See attached files.

    Let the complex number , where x and y are real, to be the square root of i.

    Therefore:

    For this equation to be ...

    Solution Summary

    This compares two methods of calculating the square root of i. The direct methods for Euler's formulas are determined.

    $2.19

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