Finite Math Examples

$\frac{- 7}{\sqrt{3} - 3}$

Step 1

Move the negative in front of the fraction.

$- \frac{7}{\sqrt{3} - 3}$

Step 2

Multiply $\frac{7}{\sqrt{3} - 3}$ by $\frac{\sqrt{3} + 3}{\sqrt{3} + 3}$ .

$- (\frac{7}{\sqrt{3} - 3} \cdot \frac{\sqrt{3} + 3}{\sqrt{3} + 3})$

Step 3

Multiply $\frac{7}{\sqrt{3} - 3}$ by $\frac{\sqrt{3} + 3}{\sqrt{3} + 3}$ .

$- \frac{7 (\sqrt{3} + 3)}{(\sqrt{3} - 3) (\sqrt{3} + 3)}$

Step 4

Expand the denominator using the FOIL method.

$- \frac{7 (\sqrt{3} + 3)}{{\sqrt{3}}^{2} + \sqrt{3} \cdot 3 - 3 \sqrt{3} - 9}$

Step 5

Simplify.

$- \frac{7 (\sqrt{3} + 3)}{- 6}$

Step 6

Move the negative in front of the fraction.

$- - \frac{7 (\sqrt{3} + 3)}{6}$

Step 7

Multiply $- - \frac{7 (\sqrt{3} + 3)}{6}$ .

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Step 7.1

Multiply $- 1$ by $- 1$ .

$1 \frac{7 (\sqrt{3} + 3)}{6}$

Step 7.2

Multiply $\frac{7 (\sqrt{3} + 3)}{6}$ by $1$ .

$\frac{7 (\sqrt{3} + 3)}{6}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{7 (\sqrt{3} + 3)}{6}$

Decimal Form:

$5.52072594 \dots$