Trigonometry Examples

$\frac{(30 \sqrt{2} - 650) (- 650)}{(609) (650)}$

Step 1

Cancel the common factor of $30 \sqrt{2} - 650$ and $650$ .

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Step 1.1

Factor $10$ out of $(30 \sqrt{2} - 650) (- 650)$ .

$\frac{10 ((3 \sqrt{2} - 65) \cdot - 650)}{(609) (650)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $10$ out of $(609) (650)$ .

$\frac{10 ((3 \sqrt{2} - 65) \cdot - 650)}{10 (609 \cdot (65))}$

Step 1.2.2

Cancel the common factor.

$\frac{10 ((3 \sqrt{2} - 65) \cdot - 650)}{10 (609 \cdot (65))}$

Step 1.2.3

Rewrite the expression.

$\frac{(3 \sqrt{2} - 65) \cdot - 650}{609 \cdot (65)}$

Step 2

Cancel the common factor of $- 650$ and $65$ .

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Step 2.1

Factor $65$ out of $(3 \sqrt{2} - 65) \cdot - 650$ .

$\frac{65 ((3 \sqrt{2} - 65) \cdot - 10)}{609 \cdot (65)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $65$ out of $609 \cdot (65)$ .

$\frac{65 ((3 \sqrt{2} - 65) \cdot - 10)}{65 \cdot 609}$

Step 2.2.2

Cancel the common factor.

$\frac{65 ((3 \sqrt{2} - 65) \cdot - 10)}{65 \cdot 609}$

Step 2.2.3

Rewrite the expression.

$\frac{(3 \sqrt{2} - 65) \cdot - 10}{609}$

Step 3

Simplify the expression.

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Step 3.1

Move $- 10$ to the left of $3 \sqrt{2} - 65$ .

$\frac{- 10 \cdot (3 \sqrt{2} - 65)}{609}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{10 (3 \sqrt{2} - 65)}{609}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{10 (3 \sqrt{2} - 65)}{609}$

Decimal Form:

$0.99765778 \dots$