Evaluate square root of -2

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Algebra

$\sqrt{- 2}$

Rewrite $- 2$ as $- 1 (2)$ .

$\sqrt{- 1 (2)}$

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

$\sqrt{- 1} \cdot \sqrt{2}$

Rewrite $\sqrt{- 1}$ as $i$ .

$i \sqrt{2}$

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