Find the square root of $2 i$ .

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Solution

We've,
$2 i$
$= 1 + 2 i - 1$
$= 1^{2} + 2.1. i + i^{2}$
$= (1 + i)^{2}$ .
So square root of $2 i$ is $\pm (1 + i)$ .

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