Pre-Algebra Examples

$\sqrt{- 2} \cdot \sqrt{19}$

Step 1

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

$\sqrt{- 1 (2)} \cdot \sqrt{19}$

Step 2

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

$\sqrt{- 1} \cdot \sqrt{2} \cdot \sqrt{19}$

Step 3

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

$i \cdot \sqrt{2} \cdot \sqrt{19}$

Step 4

Multiply $i \sqrt{2} \sqrt{19}$ .

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Step 4.1

Combine using the product rule for radicals.

$i \sqrt{19 \cdot 2}$

Step 4.2

Multiply $19$ by $2$ .

$i \sqrt{38}$