Basic Math Examples

$\frac{\sqrt{4} + 4^{2}}{5 (13 - 10) - 2^{2} - 2}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{\sqrt{2^{2}} + 4^{2}}{5 (13 - 10) - 2^{2} - 2}$

Step 1.2

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

$\frac{2 + 4^{2}}{5 (13 - 10) - 2^{2} - 2}$

Step 1.3

Raise $4$ to the power of $2$ .

$\frac{2 + 16}{5 (13 - 10) - 2^{2} - 2}$

Step 1.4

Add $2$ and $16$ .

$\frac{18}{5 (13 - 10) - 2^{2} - 2}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $10$ from $13$ .

$\frac{18}{5 \cdot 3 - 2^{2} - 2}$

Step 2.2

Multiply $5$ by $3$ .

$\frac{18}{15 - 2^{2} - 2}$

Step 2.3

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

$\frac{18}{15 - 1 \cdot 4 - 2}$

Step 2.4

Multiply $- 1$ by $4$ .

$\frac{18}{15 - 4 - 2}$

Step 2.5

Subtract $4$ from $15$ .

$\frac{18}{11 - 2}$

Step 2.6

Subtract $2$ from $11$ .

$\frac{18}{9}$

Step 3

Divide $18$ by $9$ .

$2$