# 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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