A complex root

Algebra Level 4

Find the square root(s) of 2+i2+i, (where i{i} = 1\sqrt{-1}) in the form x{x} + y{y}i{i}, then give your answer as the value of the expression below.

(x2)×(y2) \left ( \displaystyle \sum x^2 \right ) \times \left ( \sum y^2 \right )

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