Pre-Algebra Examples

$\frac{3 - \sqrt{8}}{3}$

Step 1

Simplify the numerator.

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Step 1.1

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

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Step 1.1.1

Factor $4$ out of $8$ .

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

Step 1.1.2

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

$\frac{3 - \sqrt{2^{2} \cdot 2}}{3}$

Step 1.2

Pull terms out from under the radical.

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

Step 1.3

Multiply $2$ by $- 1$ .

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

Step 2

Split the fraction $\frac{3 - 2 \sqrt{2}}{3}$ into two fractions.

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

Step 3

Divide $3$ by $3$ .

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

Step 4

Move the negative in front of the fraction.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.05719095 \dots$