Show that `sqrti+sqrt(-i)=sqrt2`

Explanation

To prove that \(\sqrt{i} + \sqrt{-i} = \sqrt{2}\), we will follow a systematic approach.

### Step 1: Square both sides
We start by squaring both sides of the equation:
\[ \left(\sqrt{i} + \sqrt{-i}\right)^2 = \left(\sqrt{2}\right)^2 \]
This simplifies to:
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