Trigonometry Examples

$\frac{6 + 12 \sqrt{36}}{3}$

Step 1

Cancel the common factor of $6 + 12 \sqrt{36}$ and $3$ .

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Step 1.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 2 + 12 \sqrt{36}}{3}$

Step 1.2

Factor $3$ out of $12 \sqrt{36}$ .

$\frac{3 \cdot 2 + 3 (4 \sqrt{36})}{3}$

Step 1.3

Factor $3$ out of $3 (2) + 3 (4 \sqrt{36})$ .

$\frac{3 (2 + 4 \sqrt{36})}{3}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $3$ out of $3$ .

$\frac{3 (2 + 4 \sqrt{36})}{3 (1)}$

Step 1.4.2

Cancel the common factor.

$\frac{3 (2 + 4 \sqrt{36})}{3 \cdot 1}$

Step 1.4.3

Rewrite the expression.

$\frac{2 + 4 \sqrt{36}}{1}$

Step 1.4.4

Divide $2 + 4 \sqrt{36}$ by $1$ .

$2 + 4 \sqrt{36}$

Step 2

Simplify each term.

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Step 2.1

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

$2 + 4 \sqrt{6^{2}}$

Step 2.2

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

$2 + 4 \cdot 6$

Step 2.3

Multiply $4$ by $6$ .

$2 + 24$

Step 3

Add $2$ and $24$ .

$26$