Basic Math Examples

$\frac{8 - \sqrt{15} - \sqrt{15}}{- 2}$

Step 1

Subtract $\sqrt{15}$ from $- \sqrt{15}$ .

$\frac{8 - 2 \sqrt{15}}{- 2}$

Step 2

Cancel the common factor of $8 - 2 \sqrt{15}$ and $- 2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{2 (4) - 2 \sqrt{15}}{- 2}$

Step 2.2

Factor $2$ out of $- 2 \sqrt{15}$ .

$\frac{2 (4) + 2 (- \sqrt{15})}{- 2}$

Step 2.3

Factor $2$ out of $2 (4) + 2 (- \sqrt{15})$ .

$\frac{2 (4 - \sqrt{15})}{- 2}$

Step 2.4

Move the negative one from the denominator of $\frac{4 - \sqrt{15}}{- 1}$ .

$- 1 \cdot (4 - \sqrt{15})$

Step 3

Rewrite $- 1 \cdot (4 - \sqrt{15})$ as $- (4 - \sqrt{15})$ .

$- (4 - \sqrt{15})$

Step 4

Apply the distributive property.

$- 1 \cdot 4 - - \sqrt{15}$

Step 5

Multiply $- 1$ by $4$ .

$- 4 - - \sqrt{15}$

Step 6

Multiply $- - \sqrt{15}$ .

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Step 6.1

Multiply $- 1$ by $- 1$ .

$- 4 + 1 \sqrt{15}$

Step 6.2

Multiply $\sqrt{15}$ by $1$ .

$- 4 + \sqrt{15}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- 4 + \sqrt{15}$

Decimal Form:

$- 0.12701665 \dots$