Trigonometry Examples

$\sqrt{\frac{2 \cdot {12.5}^{2}}{20}}$

Step 1

Reduce the expression $\frac{2 \cdot {12.5}^{2}}{20}$ by cancelling the common factors.

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Step 1.1

Factor $2$ out of $2 \cdot {12.5}^{2}$ .

$\sqrt{\frac{2 ({12.5}^{2})}{20}}$

Step 1.2

Factor $2$ out of $20$ .

$\sqrt{\frac{2 \cdot {12.5}^{2}}{2 \cdot 10}}$

Step 1.3

Cancel the common factor.

$\sqrt{\frac{2 \cdot {12.5}^{2}}{2 \cdot 10}}$

Step 1.4

Rewrite the expression.

$\sqrt{\frac{{12.5}^{2}}{10}}$

Step 2

Simplify the expression.

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Step 2.1

Raise $12.5$ to the power of $2$ .

$\sqrt{\frac{156.25}{10}}$

Step 2.2

Divide $156.25$ by $10$ .

$\sqrt{15.625}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{15.625}$

Decimal Form:

$3.95284707 \dots$