## $$\sqrt{i}$$

How many square roots of $$i$$ are there ?

To check out this question, we may move on and use the ln manipulation like follows:

### Thus, $$e^{\frac{1}{2}ln\left ( i \right )} = e^{i\frac{\pi }{4}}$$

Now, since the root $$e^{i\frac{\pi }{4}}$$ we found have the exponential form, then the Euler's Formula can be used also to find the equivalent roots.