Trigonometry Examples

$\sqrt{{(5 - 3)}^{2} + {(4 - (- 4))}^{2}}$

Step 1

Subtract $3$ from $5$ .

$\sqrt{2^{2} + {(4 - (- 4))}^{2}}$

Step 2

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

$\sqrt{4 + {(4 - (- 4))}^{2}}$

Step 3

Multiply $- 1$ by $- 4$ .

$\sqrt{4 + {(4 + 4)}^{2}}$

Step 4

Add $4$ and $4$ .

$\sqrt{4 + 8^{2}}$

Step 5

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

$\sqrt{4 + 64}$

Step 6

Add $4$ and $64$ .

$\sqrt{68}$

Step 7

Rewrite $68$ as $2^{2} \cdot 17$ .

Tap for more steps...

Step 7.1

Factor $4$ out of $68$ .

$\sqrt{4 (17)}$

Step 7.2

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 17}$

$\sqrt{2^{2} \cdot 17}$

Step 8

Pull terms out from under the radical.

$2 \sqrt{17}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{17}$

Decimal Form:

$8.24621125 \dots$

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