Basic Math Examples

$\frac{9 + 3 + 4}{2 \sqrt{9 + 4 + 3}}$

Step 1

Simplify the numerator.

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Step 1.1

Add $9$ and $3$ .

$\frac{12 + 4}{2 \sqrt{9 + 4 + 3}}$

Step 1.2

Add $12$ and $4$ .

$\frac{16}{2 \sqrt{9 + 4 + 3}}$

Step 2

Simplify the denominator.

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Step 2.1

Add $9$ and $4$ .

$\frac{16}{2 \sqrt{13 + 3}}$

Step 2.2

Add $13$ and $3$ .

$\frac{16}{2 \sqrt{16}}$

Step 2.3

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

$\frac{16}{2 \sqrt{4^{2}}}$

Step 2.4

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

$\frac{16}{2 \cdot 4}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $2$ by $4$ .

$\frac{16}{8}$

Step 3.2

Divide $16$ by $8$ .

$2$