Trigonometry Examples

$\sqrt{- 448}$

Step 1

Rewrite $- 448$ as $- 1 (448)$ .

$\sqrt{- 1 (448)}$

Step 2

Rewrite $\sqrt{- 1 (448)}$ as $\sqrt{- 1} \cdot \sqrt{448}$ .

$\sqrt{- 1} \cdot \sqrt{448}$

Step 3

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

$i \cdot \sqrt{448}$

Step 4

Rewrite $448$ as $8^{2} \cdot 7$ .

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Step 4.1

Factor $64$ out of $448$ .

$i \cdot \sqrt{64 (7)}$

Step 4.2

Rewrite $64$ as $8^{2}$ .

$i \cdot \sqrt{8^{2} \cdot 7}$

Step 5

Pull terms out from under the radical.

$i \cdot (8 \sqrt{7})$

Step 6

Move $8$ to the left of $i$ .

$8 i \sqrt{7}$