Evaluate (2+- square root of 4-(4)6-5)/12

$\frac{2 + - \sqrt{4 - (4) \cdot 6 \cdot - 5}}{12}$

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 $1 \cdot - 1 = - 1$

$\frac{2 - \sqrt{4 - 4 \cdot 6 \cdot - 5}}{12}$

Simplify the numerator.

Multiply $- 4$ by $6$ .

$\frac{2 - \sqrt{4 - 24 \cdot - 5}}{12}$

Multiply $- 24$ by $- 5$ .

$\frac{2 - \sqrt{4 + 120}}{12}$

Add $4$ and $120$ .

$\frac{2 - \sqrt{124}}{12}$

Rewrite $124$ as $2^{2} \cdot 31$ .

Factor $4$ out of $124$ .

$\frac{2 - \sqrt{4 (31)}}{12}$

Rewrite $4$ as $2^{2}$ .

$\frac{2 - \sqrt{2^{2} \cdot 31}}{12}$

Pull terms out from under the radical.

$\frac{2 - (2 \sqrt{31})}{12}$

Multiply $2$ by $- 1$ .

$\frac{2 - 2 \sqrt{31}}{12}$

Cancel the common factor of $2 - 2 \sqrt{31}$ and $12$ .

Factor $2$ out of $2$ .

$\frac{2 (1) - 2 \sqrt{31}}{12}$

Factor $2$ out of $- 2 \sqrt{31}$ .

$\frac{2 (1) + 2 (- \sqrt{31})}{12}$

Factor $2$ out of $2 (1) + 2 (- \sqrt{31})$ .

$\frac{2 (1 - \sqrt{31})}{12}$

Cancel the common factors.

Factor $2$ out of $12$ .

$\frac{2 (1 - \sqrt{31})}{2 \cdot 6}$

Cancel the common factor.

$\frac{2 (1 - \sqrt{31})}{2 \cdot 6}$

Rewrite the expression.

$\frac{1 - \sqrt{31}}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1 - \sqrt{31}}{6}$

Decimal Form:

$- 0.76129406 \dots$

Evaluate (2+- square root of 4-(4)*6*-5)/12

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Evaluate (2+- square root of 4-(4)6-5)/12