Simplify (-2+- square root of 2^2-41-3)/(2(1))

$\frac{- 2 + - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$

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 $1 \cdot - 1 = - 1$

$\frac{- 2 - \sqrt{2^{2} - 4 \cdot 1 \cdot - 3}}{2 (1)}$

Simplify the numerator.

Raise $2$ to the power of $2$ .

$\frac{- 2 - \sqrt{4 - 4 \cdot 1 \cdot - 3}}{2 (1)}$

Multiply $- 4$ by $1$ .

$\frac{- 2 - \sqrt{4 - 4 \cdot - 3}}{2 (1)}$

Multiply $- 4$ by $- 3$ .

$\frac{- 2 - \sqrt{4 + 12}}{2 (1)}$

Add $4$ and $12$ .

$\frac{- 2 - \sqrt{16}}{2 (1)}$

Rewrite $16$ as $4^{2}$ .

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

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

$\frac{- 2 - 1 \cdot 4}{2 (1)}$

Multiply $- 1$ by $4$ .

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

Subtract $4$ from $- 2$ .

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

Simplify the expression.

Multiply $2$ by $1$ .

$\frac{- 6}{2}$

Divide $- 6$ by $2$ .

$- 3$

Simplify (-2+- square root of 2^2-4*1*-3)/(2(1))

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Simplify (-2+- square root of 2^2-41-3)/(2(1))