Basic Math Examples

$\frac{5}{6 + \sqrt{3}}$

Step 1

Multiply $\frac{5}{6 + \sqrt{3}}$ by $\frac{6 - \sqrt{3}}{6 - \sqrt{3}}$ .

$\frac{5}{6 + \sqrt{3}} \cdot \frac{6 - \sqrt{3}}{6 - \sqrt{3}}$

Step 2

Multiply $\frac{5}{6 + \sqrt{3}}$ by $\frac{6 - \sqrt{3}}{6 - \sqrt{3}}$ .

$\frac{5 (6 - \sqrt{3})}{(6 + \sqrt{3}) (6 - \sqrt{3})}$

Step 3

Expand the denominator using the FOIL method.

$\frac{5 (6 - \sqrt{3})}{36 - 6 \sqrt{3} + \sqrt{3} \cdot 6 - {\sqrt{3}}^{2}}$

Step 4

Simplify.

$\frac{5 (6 - \sqrt{3})}{33}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5 (6 - \sqrt{3})}{33}$

Decimal Form:

$0.64665896 \dots$