Algebra Examples

$\frac{2 + - \sqrt{36}}{6}$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$\frac{2 - \sqrt{36}}{6}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $36$ as $6^{2}$ .

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

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{2 - 1 \cdot 6}{6}$

Step 2.3

Multiply $- 1$ by $6$ .

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

Step 2.4

Subtract $6$ from $2$ .

$\frac{- 4}{6}$

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Cancel the common factor of $- 4$ and $6$ .

Tap for more steps...

Step 3.1.1

Factor $2$ out of $- 4$ .

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

Step 3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.1.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot - 2}{2 \cdot 3}$

Step 3.1.2.2

Cancel the common factor.

$\frac{2 \cdot - 2}{2 \cdot 3}$

Step 3.1.2.3

Rewrite the expression.

$\frac{- 2}{3}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$