Pre-Algebra Examples

$\frac{- 3}{\sqrt{6} - 2}$

Step 1

Move the negative in front of the fraction.

$- \frac{3}{\sqrt{6} - 2}$

Step 2

Multiply $\frac{3}{\sqrt{6} - 2}$ by $\frac{\sqrt{6} + 2}{\sqrt{6} + 2}$ .

$- (\frac{3}{\sqrt{6} - 2} \cdot \frac{\sqrt{6} + 2}{\sqrt{6} + 2})$

Step 3

Multiply $\frac{3}{\sqrt{6} - 2}$ by $\frac{\sqrt{6} + 2}{\sqrt{6} + 2}$ .

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

Step 4

Expand the denominator using the FOIL method.

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

Step 5

Simplify.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 6.67423461 \dots$