Basic Math Examples

$\sqrt{3} + \frac{2 (\sqrt{2})}{6}$

Step 1

Cancel the common factors.

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Step 1.1

Factor $2$ out of $6$ .

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

Step 1.2

Cancel the common factor.

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

Step 1.3

Rewrite the expression.

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

Step 2

To write $\sqrt{3}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 3

Combine fractions.

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Step 3.1

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

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

Step 3.2

Combine the numerators over the common denominator.

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

Step 4

Move $3$ to the left of $\sqrt{3}$ .

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$2.20345532 \dots$