# 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.

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##### Solution Summary

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

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

Therefore:

For this equation to be ...

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