Basic Math Examples

$- \frac{\sqrt{6}}{4} - (- \frac{\sqrt{2}}{4})$

Step 1

Multiply $- (- \frac{\sqrt{2}}{4})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$- \frac{\sqrt{6}}{4} + 1 \frac{\sqrt{2}}{4}$

Step 1.2

Multiply $\frac{\sqrt{2}}{4}$ by $1$ .

$- \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{- \sqrt{6} + \sqrt{2}}{4}$

Step 3

Factor $- 1$ out of $- \sqrt{6}$ .

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

Step 4

Factor $- 1$ out of $\sqrt{2}$ .

$\frac{- (\sqrt{6}) - 1 (- \sqrt{2})}{4}$

Step 5

Factor $- 1$ out of $- (\sqrt{6}) - 1 (- \sqrt{2})$ .

$\frac{- (\sqrt{6} - \sqrt{2})}{4}$

Step 6

Simplify the expression.

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Step 6.1

Rewrite $- (\sqrt{6} - \sqrt{2})$ as $- 1 (\sqrt{6} - \sqrt{2})$ .

$\frac{- 1 (\sqrt{6} - \sqrt{2})}{4}$

Step 6.2

Move the negative in front of the fraction.

$- \frac{\sqrt{6} - \sqrt{2}}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{\sqrt{6} - \sqrt{2}}{4}$

Decimal Form:

$- 0.25881904 \dots$