Precalculus Examples

$\sqrt{- 2} - 6$

Step 1

Simplify each term.

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Step 1.1

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

$\sqrt{- 1 (2)} - 6$

Step 1.2

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

$\sqrt{- 1} \cdot \sqrt{2} - 6$

Step 1.3

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

$i \sqrt{2} - 6$

Step 2

Reorder $i \sqrt{2}$ and $- 6$ .

$- 6 + i \sqrt{2}$