Basic Math Examples

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

Step 1

Multiply $\frac{4}{2 \sqrt{3} - 3}$ by $\frac{2 \sqrt{3} + 3}{2 \sqrt{3} + 3}$ .

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

Step 2

Multiply $\frac{4}{2 \sqrt{3} - 3}$ by $\frac{2 \sqrt{3} + 3}{2 \sqrt{3} + 3}$ .

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

Step 3

Expand the denominator using the FOIL method.

$\frac{4 (2 \sqrt{3} + 3)}{4 {\sqrt{3}}^{2} + 6 \sqrt{3} - 6 \sqrt{3} - 9}$

Step 4

Simplify.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$8.61880215 \dots$