Basic Math Examples

$\sqrt{19} \cdot \sqrt{- 13}$

Step 1

Rewrite $- 13$ as $- 1 (13)$ .

$\sqrt{19} \cdot \sqrt{- 1 (13)}$

Step 2

Rewrite $\sqrt{- 1 (13)}$ as $\sqrt{- 1} \cdot \sqrt{13}$ .

$\sqrt{19} \cdot (\sqrt{- 1} \cdot \sqrt{13})$

Step 3

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

$\sqrt{19} \cdot (i \cdot \sqrt{13})$

Step 4

Multiply $\sqrt{19} (i \sqrt{13})$ .

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Step 4.1

Combine using the product rule for radicals.

$\sqrt{13 \cdot 19} i$

Step 4.2

Multiply $13$ by $19$ .

$\sqrt{247} i$