Trigonometry Examples

$\sqrt{{(21 - (- 4))}^{2} + {(25 - 5)}^{2}}$

Step 1

Multiply $- 1$ by $- 4$ .

$\sqrt{{(21 + 4)}^{2} + {(25 - 5)}^{2}}$

Step 2

Add $21$ and $4$ .

$\sqrt{25^{2} + {(25 - 5)}^{2}}$

Step 3

Raise $25$ to the power of $2$ .

$\sqrt{625 + {(25 - 5)}^{2}}$

Step 4

Subtract $5$ from $25$ .

$\sqrt{625 + 20^{2}}$

Step 5

Raise $20$ to the power of $2$ .

$\sqrt{625 + 400}$

Step 6

Add $625$ and $400$ .

$\sqrt{1025}$

Step 7

Rewrite $1025$ as $5^{2} \cdot 41$ .

Tap for more steps...

Step 7.1

Factor $25$ out of $1025$ .

$\sqrt{25 (41)}$

Step 7.2

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 41}$

$\sqrt{5^{2} \cdot 41}$

Step 8

Pull terms out from under the radical.

$5 \sqrt{41}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{41}$

Decimal Form:

$32.01562118 \dots$

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