Trigonometry Examples

$\sqrt{- 2^{2} - 1^{2}}$

Step 1

Simplify the expression.

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Step 1.1

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

$\sqrt{- 1 \cdot 4 - 1^{2}}$

Step 1.2

Multiply $- 1$ by $4$ .

$\sqrt{- 4 - 1^{2}}$

Step 1.3

One to any power is one.

$\sqrt{- 4 - 1 \cdot 1}$

Step 1.4

Multiply $- 1$ by $1$ .

$\sqrt{- 4 - 1}$

Step 1.5

Subtract $1$ from $- 4$ .

$\sqrt{- 5}$

Step 2

Rewrite $- 5$ as $- 1 (5)$ .

$\sqrt{- 1 (5)}$

Step 3

Rewrite $\sqrt{- 1 (5)}$ as $\sqrt{- 1} \cdot \sqrt{5}$ .

$\sqrt{- 1} \cdot \sqrt{5}$

Step 4

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

$i \sqrt{5}$