Trigonometry Examples

$\frac{\sqrt{8}}{4}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Rewrite $8$ as $2^{2} \cdot 2$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $8$ .

$\frac{\sqrt{4 (2)}}{4}$

Step 1.1.2

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

$\frac{\sqrt{2^{2} \cdot 2}}{4}$

$\frac{\sqrt{2^{2} \cdot 2}}{4}$

Step 1.2

Pull terms out from under the radical.

$\frac{2 \sqrt{2}}{4}$

$\frac{2 \sqrt{2}}{4}$

Step 2

Cancel the common factor of $2$ and $4$ .

Tap for more steps...

Step 2.1

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

$\frac{2 (\sqrt{2})}{4}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $2$ out of $4$ .

$\frac{2 \sqrt{2}}{2 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \sqrt{2}}{2 \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{2}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{2}}{2}$

Decimal Form:

$0.70710678 \dots$

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