Trigonometry Examples

$\frac{36 (45 - \sqrt{81})}{25}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $81$ as $9^{2}$ .

$\frac{36 (45 - \sqrt{9^{2}})}{25}$

Step 1.2

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

$\frac{36 (45 - 1 \cdot 9)}{25}$

Step 1.3

Multiply $- 1$ by $9$ .

$\frac{36 (45 - 9)}{25}$

Step 1.4

Subtract $9$ from $45$ .

$\frac{36 \cdot 36}{25}$

Step 2

Multiply $36$ by $36$ .

$\frac{1296}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1296}{25}$

Decimal Form:

$51.84$

Mixed Number Form:

$51 \frac{21}{25}$