Trigonometry Examples

$\sqrt{- 15} \cdot \sqrt{13}$

Step 1

Rewrite $- 15$ as $- 1 (15)$ .

$\sqrt{- 1 (15)} \cdot \sqrt{13}$

Step 2

Rewrite $\sqrt{- 1 (15)}$ as $\sqrt{- 1} \cdot \sqrt{15}$ .

$\sqrt{- 1} \cdot \sqrt{15} \cdot \sqrt{13}$

Step 3

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

$i \cdot \sqrt{15} \cdot \sqrt{13}$

Step 4

Multiply $i \sqrt{15} \sqrt{13}$ .

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Step 4.1

Combine using the product rule for radicals.

$i \sqrt{13 \cdot 15}$

Step 4.2

Multiply $13$ by $15$ .

$i \sqrt{195}$