Trigonometry Examples

$\frac{1352 \sqrt{105} - 10140}{13520}$

Step 1

Factor $676$ out of $1352 \sqrt{105}$ .

$\frac{676 (2 \sqrt{105}) - 10140}{13520}$

Step 2

Factor $676$ out of $- 10140$ .

$\frac{676 (2 \sqrt{105}) + 676 (- 15)}{13520}$

Step 3

Factor $676$ out of $676 (2 \sqrt{105}) + 676 (- 15)$ .

$\frac{676 (2 \sqrt{105} - 15)}{13520}$

Step 4

Cancel the common factors.

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Step 4.1

Factor $676$ out of $13520$ .

$\frac{676 (2 \sqrt{105} - 15)}{676 (20)}$

Step 4.2

Cancel the common factor.

$\frac{676 (2 \sqrt{105} - 15)}{676 \cdot 20}$

Step 4.3

Rewrite the expression.

$\frac{2 \sqrt{105} - 15}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2 \sqrt{105} - 15}{20}$

Decimal Form:

$0.27469507 \dots$