Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $\frac{2}{3} (2 \sqrt{2})$ .

Tap for more steps...

Step 2.1

Combine $2$ and $\frac{2}{3}$ .

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

Step 2.2

Multiply $2$ by $2$ .

$\frac{4}{3} \sqrt{2} + \frac{2}{3} \cdot - 1$

Step 2.3

Combine $\frac{4}{3}$ and $\sqrt{2}$ .

$\frac{4 \sqrt{2}}{3} + \frac{2}{3} \cdot - 1$

Step 3

Multiply $\frac{2}{3} \cdot - 1$ .

Tap for more steps...

Step 3.1

Combine $\frac{2}{3}$ and $- 1$ .

$\frac{4 \sqrt{2}}{3} + \frac{2 \cdot - 1}{3}$

Step 3.2

Multiply $2$ by $- 1$ .

$\frac{4 \sqrt{2}}{3} + \frac{- 2}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \sqrt{2} - 2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4 \sqrt{2} - 2}{3}$

Decimal Form:

$1.21895141 \dots$