Basic Math Examples

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

Step 1

Multiply $\frac{1}{2 + \sqrt{3}}$ by $\frac{2 - \sqrt{3}}{2 - \sqrt{3}}$ .

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

Step 2

Multiply $\frac{1}{2 + \sqrt{3}}$ by $\frac{2 - \sqrt{3}}{2 - \sqrt{3}}$ .

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

Step 3

Expand the denominator using the FOIL method.

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

Step 4

Simplify.

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

Step 5

Divide $2 - \sqrt{3}$ by $1$ .

$2 - \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$2 - \sqrt{3}$

Decimal Form:

$0.26794919 \dots$