Trigonometry Examples

$\sqrt{- 8^{2} - 8^{2}}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

Raise $8$ to the power of $2$ .

$\sqrt{- 1 \cdot 64 - 8^{2}}$

Step 1.2

Multiply $- 1$ by $64$ .

$\sqrt{- 64 - 8^{2}}$

Step 1.3

Raise $8$ to the power of $2$ .

$\sqrt{- 64 - 1 \cdot 64}$

Step 1.4

Multiply $- 1$ by $64$ .

$\sqrt{- 64 - 64}$

Step 1.5

Subtract $64$ from $- 64$ .

$\sqrt{- 128}$

$\sqrt{- 128}$

Step 2

Rewrite $- 128$ as $- 1 (128)$ .

$\sqrt{- 1 (128)}$

Step 3

Rewrite $\sqrt{- 1 (128)}$ as $\sqrt{- 1} \cdot \sqrt{128}$ .

$\sqrt{- 1} \cdot \sqrt{128}$

Step 4

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

$i \cdot \sqrt{128}$

Step 5

Rewrite $128$ as $8^{2} \cdot 2$ .

Tap for more steps...

Step 5.1

Factor $64$ out of $128$ .

$i \cdot \sqrt{64 (2)}$

Step 5.2

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

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

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

Step 6

Pull terms out from under the radical.

$i \cdot (8 \sqrt{2})$

Step 7

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

$8 i \sqrt{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$