Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Expand the denominator using the FOIL method.

$\frac{x (\sqrt{11} + \sqrt{6})}{{\sqrt{11}}^{2} + \sqrt{66} - \sqrt{66} - {\sqrt{6}}^{2}}$

Step 4

Simplify.

$\frac{x (\sqrt{11} + \sqrt{6})}{5}$