Trigonometry Examples

$\sqrt{39^{2} - 10^{2}}$

Step 1

Raise $39$ to the power of $2$ .

$\sqrt{1521 - 10^{2}}$

Step 2

Raise $10$ to the power of $2$ .

$\sqrt{1521 - 1 \cdot 100}$

Step 3

Multiply $- 1$ by $100$ .

$\sqrt{1521 - 100}$

Step 4

Subtract $100$ from $1521$ .

$\sqrt{1421}$

Step 5

Rewrite $1421$ as $7^{2} \cdot 29$ .

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Step 5.1

Factor $49$ out of $1421$ .

$\sqrt{49 (29)}$

Step 5.2

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 29}$

$\sqrt{7^{2} \cdot 29}$

Step 6

Pull terms out from under the radical.

$7 \sqrt{29}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{29}$

Decimal Form:

$37.69615364 \dots$

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