Basic Math Examples

$4 + (21 + \sqrt[3]{24 \div 3} - {(7 - \sqrt{25})}^{2}) + (18 - 6) \cdot (12 (2 + (8 + 8))) \cdot 6$

Step 1

Remove parentheses.

$4 + 21 + \sqrt[3]{24 \div 3} - {(7 - \sqrt{25})}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2

Simplify each term.

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Step 2.1

Divide $24$ by $3$ .

$4 + 21 + \sqrt[3]{8} - {(7 - \sqrt{25})}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.2

Rewrite $8$ as $2^{3}$ .

$4 + 21 + \sqrt[3]{2^{3}} - {(7 - \sqrt{25})}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.3

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

$4 + 21 + 2 - {(7 - \sqrt{25})}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.4

Simplify each term.

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Step 2.4.1

Rewrite $25$ as $5^{2}$ .

$4 + 21 + 2 - {(7 - \sqrt{5^{2}})}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.4.2

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

$4 + 21 + 2 - {(7 - 1 \cdot 5)}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.4.3

Multiply $- 1$ by $5$ .

$4 + 21 + 2 - {(7 - 5)}^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.5

Subtract $5$ from $7$ .

$4 + 21 + 2 - 2^{2} + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.6

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

$4 + 21 + 2 - 1 \cdot 4 + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.7

Multiply $- 1$ by $4$ .

$4 + 21 + 2 - 4 + (18 - 6) \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.8

Subtract $6$ from $18$ .

$4 + 21 + 2 - 4 + 12 \cdot (12 (2 + 8 + 8)) \cdot 6$

Step 2.9

Add $2$ and $8$ .

$4 + 21 + 2 - 4 + 12 \cdot (12 (10 + 8)) \cdot 6$

Step 2.10

Add $10$ and $8$ .

$4 + 21 + 2 - 4 + 12 \cdot (12 \cdot 18) \cdot 6$

Step 2.11

Multiply $12 \cdot (12 \cdot 18) \cdot 6$ .

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Step 2.11.1

Multiply $12$ by $18$ .

$4 + 21 + 2 - 4 + 12 \cdot 216 \cdot 6$

Step 2.11.2

Multiply $12$ by $216$ .

$4 + 21 + 2 - 4 + 2592 \cdot 6$

Step 2.11.3

Multiply $2592$ by $6$ .

$4 + 21 + 2 - 4 + 15552$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $4$ and $21$ .

$25 + 2 - 4 + 15552$

Step 3.2

Add $25$ and $2$ .

$27 - 4 + 15552$

Step 3.3

Subtract $4$ from $27$ .

$23 + 15552$

Step 3.4

Add $23$ and $15552$ .

$15575$