Trigonometry Examples

$\sqrt{- 9^{2} + 12^{2}}$

Step 1

Raise $9$ to the power of $2$ .

$\sqrt{- 1 \cdot 81 + 12^{2}}$

Step 2

Multiply $- 1$ by $81$ .

$\sqrt{- 81 + 12^{2}}$

Step 3

Raise $12$ to the power of $2$ .

$\sqrt{- 81 + 144}$

Step 4

Add $- 81$ and $144$ .

$\sqrt{63}$

Step 5

Rewrite $63$ as $3^{2} \cdot 7$ .

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Step 5.1

Factor $9$ out of $63$ .

$\sqrt{9 (7)}$

Step 5.2

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 7}$

$\sqrt{3^{2} \cdot 7}$

Step 6

Pull terms out from under the radical.

$3 \sqrt{7}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{7}$

Decimal Form:

$7.93725393 \dots$

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