Basic Math Examples

$4 + 22 - 4 \cdot \sqrt{4} + 8 \cdot \sqrt{36} - 13 \cdot 2$

Step 1

Simplify each term.

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Step 1.1

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

$4 + 22 - 4 \cdot \sqrt{2^{2}} + 8 \cdot \sqrt{36} - 13 \cdot 2$

Step 1.2

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

$4 + 22 - 4 \cdot 2 + 8 \cdot \sqrt{36} - 13 \cdot 2$

Step 1.3

Multiply $- 4$ by $2$ .

$4 + 22 - 8 + 8 \cdot \sqrt{36} - 13 \cdot 2$

Step 1.4

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

$4 + 22 - 8 + 8 \cdot \sqrt{6^{2}} - 13 \cdot 2$

Step 1.5

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

$4 + 22 - 8 + 8 \cdot 6 - 13 \cdot 2$

Step 1.6

Multiply $8$ by $6$ .

$4 + 22 - 8 + 48 - 13 \cdot 2$

Step 1.7

Multiply $- 13$ by $2$ .

$4 + 22 - 8 + 48 - 26$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $4$ and $22$ .

$26 - 8 + 48 - 26$

Step 2.2

Subtract $8$ from $26$ .

$18 + 48 - 26$

Step 2.3

Add $18$ and $48$ .

$66 - 26$

Step 2.4

Subtract $26$ from $66$ .

$40$