Trigonometry Examples

$\sqrt{- {1480.8159}^{2} - {437.5662}^{2}}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Raise $1480.8159$ to the power of $2$ .

$\sqrt{- 1 \cdot 2192815.72969281 - {437.5662}^{2}}$

Step 1.2

Multiply $- 1$ by $2192815.72969281$ .

$\sqrt{- 2192815.72969281 - {437.5662}^{2}}$

Step 1.3

Raise $437.5662$ to the power of $2$ .

$\sqrt{- 2192815.72969281 - 1 \cdot 191464.17938244}$

Step 1.4

Multiply $- 1$ by $191464.17938244$ .

$\sqrt{- 2192815.72969281 - 191464.17938244}$

Step 1.5

Subtract $191464.17938244$ from $- 2192815.72969281$ .

$\sqrt{- 2384279.90907525}$

Step 2

Rewrite $- 2384279.90907525$ as $- 1 (2384279.90907525)$ .

$\sqrt{- 1 (2384279.90907525)}$

Step 3

Rewrite $\sqrt{- 1 (2384279.90907525)}$ as $\sqrt{- 1} \cdot \sqrt{2384279.90907525}$ .

$\sqrt{- 1} \cdot \sqrt{2384279.90907525}$

Step 4

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

$i \sqrt{2384279.90907525}$