A complex root

Algebra Level 4

Find the square root(s) of \(2+i\), (where \({i}\) = \(\sqrt{-1}\)) in the form \({x}\) + \({y}\)\({i}\), then give your answer as the value of the expression below.

\[ \left ( \displaystyle \sum x^2 \right ) \times \left ( \sum y^2 \right ) \]

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