Algebra Examples

$\frac{- 6 - \sqrt{36 - 20}}{2 (1)}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $20$ from $36$ .

$\frac{- 6 - \sqrt{16}}{2 (1)}$

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

Multiply $- 1$ by $4$ .

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

Step 1.5

Subtract $4$ from $- 6$ .

$\frac{- 10}{2 (1)}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $2$ by $1$ .

$\frac{- 10}{2}$

Step 2.2

Divide $- 10$ by $2$ .

$- 5$