Basic Math Examples

$- 3 (6 - (- 5 - 1) + 2) \div \sqrt{36} \cdot - 2 - (- 4)$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Subtract $1$ from $- 5$ .

$- 3 (6 - - 6 + 2) \div \sqrt{36} \cdot - 2 - (- 4)$

Step 1.1.2

Multiply $- 1$ by $- 6$ .

$- 3 (6 + 6 + 2) \div \sqrt{36} \cdot - 2 - (- 4)$

Step 1.1.3

Add $6$ and $6$ .

$- 3 (12 + 2) \div \sqrt{36} \cdot - 2 - (- 4)$

Step 1.1.4

Add $12$ and $2$ .

$- 3 \cdot 14 \div \sqrt{36} \cdot - 2 - (- 4)$

Step 1.2

Simplify the denominator.

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Step 1.2.1

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

$- 3 \cdot 14 \div \sqrt{6^{2}} \cdot - 2 - (- 4)$

Step 1.2.2

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

$- 3 \cdot 14 \div 6 \cdot - 2 - (- 4)$

Step 1.3

Multiply $- 3$ by $14$ .

$- 42 \div 6 \cdot - 2 - (- 4)$

Step 1.4

Divide $- 42$ by $6$ .

$- 7 \cdot - 2 - (- 4)$

Step 1.5

Multiply $- 7$ by $- 2$ .

$14 - (- 4)$

Step 1.6

Multiply $- 1$ by $- 4$ .

$14 + 4$

Step 2

Add $14$ and $4$ .

$18$