Trigonometry Examples

$\frac{5 \sqrt{2} - 15}{5}$

Step 1

Factor $5$ out of $5 \sqrt{2}$ .

$\frac{5 (\sqrt{2}) - 15}{5}$

Step 2

Factor $5$ out of $- 15$ .

$\frac{5 (\sqrt{2}) + 5 \cdot - 3}{5}$

Step 3

Factor $5$ out of $5 (\sqrt{2}) + 5 (- 3)$ .

$\frac{5 (\sqrt{2} - 3)}{5}$

Step 4

Cancel the common factors.

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Step 4.1

Factor $5$ out of $5$ .

$\frac{5 (\sqrt{2} - 3)}{5 (1)}$

Step 4.2

Cancel the common factor.

$\frac{5 (\sqrt{2} - 3)}{5 \cdot 1}$

Step 4.3

Rewrite the expression.

$\frac{\sqrt{2} - 3}{1}$

Step 4.4

Divide $\sqrt{2} - 3$ by $1$ .

$\sqrt{2} - 3$

$\sqrt{2} - 3$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2} - 3$

Decimal Form:

$- 1.58578643 \dots$

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