Basic Math Examples

$\sqrt{14} \cdot \sqrt{- 11}$

Step 1

Rewrite $- 11$ as $- 1 (11)$ .

$\sqrt{14} \cdot \sqrt{- 1 (11)}$

Step 2

Rewrite $\sqrt{- 1 (11)}$ as $\sqrt{- 1} \cdot \sqrt{11}$ .

$\sqrt{14} \cdot (\sqrt{- 1} \cdot \sqrt{11})$

Step 3

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

$\sqrt{14} \cdot (i \cdot \sqrt{11})$

Step 4

Multiply $\sqrt{14} (i \sqrt{11})$ .

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Step 4.1

Combine using the product rule for radicals.

$\sqrt{11 \cdot 14} i$

Step 4.2

Multiply $11$ by $14$ .

$\sqrt{154} i$