Finite Math Examples

$\frac{2}{5 - \sqrt{6}}$

Step 1

Multiply $\frac{2}{5 - \sqrt{6}}$ by $\frac{5 + \sqrt{6}}{5 + \sqrt{6}}$ .

$\frac{2}{5 - \sqrt{6}} \cdot \frac{5 + \sqrt{6}}{5 + \sqrt{6}}$

Step 2

Multiply $\frac{2}{5 - \sqrt{6}}$ by $\frac{5 + \sqrt{6}}{5 + \sqrt{6}}$ .

$\frac{2 (5 + \sqrt{6})}{(5 - \sqrt{6}) (5 + \sqrt{6})}$

Step 3

Expand the denominator using the FOIL method.

$\frac{2 (5 + \sqrt{6})}{25 + 5 \sqrt{6} - 5 \sqrt{6} - {\sqrt{6}}^{2}}$

Step 4

Simplify.

$\frac{2 (5 + \sqrt{6})}{19}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2 (5 + \sqrt{6})}{19}$

Decimal Form:

$0.78415681 \dots$