Trigonometry Examples

$\frac{6 + \sqrt{9}}{2 (3)}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $9$ as $3^{2}$ .

$\frac{6 + \sqrt{3^{2}}}{2 (3)}$

Step 1.2

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

$\frac{6 + 3}{2 (3)}$

Step 1.3

Add $6$ and $3$ .

$\frac{9}{2 (3)}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Multiply $2$ by $3$ .

$\frac{9}{6}$

Step 2.2

Cancel the common factor of $9$ and $6$ .

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Step 2.2.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{6}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 3}{3 \cdot 2}$

Step 2.2.2.2

Cancel the common factor.

$\frac{3 \cdot 3}{3 \cdot 2}$

Step 2.2.2.3

Rewrite the expression.

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$