Trigonometry Examples

$- \sqrt{\frac{\frac{9}{5}}{\frac{1}{5}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- \sqrt{\frac{9}{5} \cdot 5}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Cancel the common factor.

$- \sqrt{\frac{9}{5} \cdot 5}$

Step 2.2

Rewrite the expression.

$- \sqrt{9}$

Step 3

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

$- \sqrt{3^{2}}$

Step 4

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

$- 1 \cdot 3$

Step 5

Multiply $- 1$ by $3$ .

$- 3$