Simplify (2+- square root of 36)/6

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

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 $1 \cdot - 1 = - 1$

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

Simplify the numerator.

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

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

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

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

Multiply $- 1$ by $6$ .

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

Subtract $6$ from $2$ .

$\frac{- 4}{6}$

Reduce the expression by cancelling the common factors.

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

Factor $2$ out of $- 4$ .

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

Cancel the common factors.

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 2}{3}$

Move the negative in front of the fraction.

$- \frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$

Simplify (2+- square root of 36)/6

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