Algebra Examples

$\sqrt{11} \cdot \sqrt{- 6}$

Step 1

Rewrite $- 6$ as $- 1 (6)$ .

$\sqrt{11} \cdot \sqrt{- 1 (6)}$

Step 2

Rewrite $\sqrt{- 1 (6)}$ as $\sqrt{- 1} \cdot \sqrt{6}$ .

$\sqrt{11} \cdot (\sqrt{- 1} \cdot \sqrt{6})$

Step 3

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

$\sqrt{11} \cdot (i \cdot \sqrt{6})$

Step 4

Multiply $\sqrt{11} (i \sqrt{6})$ .

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Step 4.1

Combine using the product rule for radicals.

$\sqrt{6 \cdot 11} i$

Step 4.2

Multiply $6$ by $11$ .

$\sqrt{66} i$