Pre-Algebra Examples

$\frac{16 - \sqrt{20}}{18}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Rewrite $20$ as $2^{2} \cdot 5$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $20$ .

$\frac{16 - \sqrt{4 (5)}}{18}$

Step 1.1.2

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

$\frac{16 - \sqrt{2^{2} \cdot 5}}{18}$

$\frac{16 - \sqrt{2^{2} \cdot 5}}{18}$

Step 1.2

Pull terms out from under the radical.

$\frac{16 - (2 \sqrt{5})}{18}$

Step 1.3

Multiply $2$ by $- 1$ .

$\frac{16 - 2 \sqrt{5}}{18}$

$\frac{16 - 2 \sqrt{5}}{18}$

Step 2

Cancel the common factor of $16 - 2 \sqrt{5}$ and $18$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $16$ .

$\frac{2 (8) - 2 \sqrt{5}}{18}$

Step 2.2

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

$\frac{2 (8) + 2 (- \sqrt{5})}{18}$

Step 2.3

Factor $2$ out of $2 (8) + 2 (- \sqrt{5})$ .

$\frac{2 (8 - \sqrt{5})}{18}$

Step 2.4

Cancel the common factors.

Tap for more steps...

Step 2.4.1

Factor $2$ out of $18$ .

$\frac{2 (8 - \sqrt{5})}{2 \cdot 9}$

Step 2.4.2

Cancel the common factor.

$\frac{2 (8 - \sqrt{5})}{2 \cdot 9}$

Step 2.4.3

Rewrite the expression.

$\frac{8 - \sqrt{5}}{9}$

$\frac{8 - \sqrt{5}}{9}$

$\frac{8 - \sqrt{5}}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{8 - \sqrt{5}}{9}$

Decimal Form:

$0.64043689 \dots$

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