Algebra Examples

$\frac{11}{9 - \sqrt{6}}$

Step 1

Multiply $\frac{11}{9 - \sqrt{6}}$ by $\frac{9 + \sqrt{6}}{9 + \sqrt{6}}$ .

$\frac{11}{9 - \sqrt{6}} \cdot \frac{9 + \sqrt{6}}{9 + \sqrt{6}}$

Step 2

Multiply $\frac{11}{9 - \sqrt{6}}$ by $\frac{9 + \sqrt{6}}{9 + \sqrt{6}}$ .

$\frac{11 (9 + \sqrt{6})}{(9 - \sqrt{6}) (9 + \sqrt{6})}$

Step 3

Expand the denominator using the FOIL method.

$\frac{11 (9 + \sqrt{6})}{81 + 9 \sqrt{6} - 9 \sqrt{6} - {\sqrt{6}}^{2}}$

Step 4

Simplify.

$\frac{11 (9 + \sqrt{6})}{75}$