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Algebra of Complex Numbers

Find the squa...

Question

Find the square root of $(x^{2} + 4 x + 4)$ .

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Solution

$\sqrt{x^{2} + 4 x + 4}$
$= \sqrt{x^{2} + 2^{2} + (2 x)}$
$= \sqrt{(x + 2^{2})}$
$= \pm (x + 2)$

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