Trigonometry Examples

$\frac{6 \sqrt{20}}{3 \sqrt{5}}$

Step 1

Cancel the common factor of $6$ and $3$ .

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Step 1.1

Factor $3$ out of $6 \sqrt{20}$ .

$\frac{3 (2 \sqrt{20})}{3 \sqrt{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $3 \sqrt{5}$ .

$\frac{3 (2 \sqrt{20})}{3 (\sqrt{5})}$

Step 1.2.2

Cancel the common factor.

$\frac{3 (2 \sqrt{20})}{3 \sqrt{5}}$

Step 1.2.3

Rewrite the expression.

$\frac{2 \sqrt{20}}{\sqrt{5}}$

Step 2

Combine $\sqrt{20}$ and $\sqrt{5}$ into a single radical.

$2 \sqrt{\frac{20}{5}}$

Step 3

Simplify the expression.

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Step 3.1

Divide $20$ by $5$ .

$2 \sqrt{4}$

Step 3.2

Rewrite $4$ as $2^{2}$ .

$2 \sqrt{2^{2}}$

Step 4

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

$2 \cdot 2$

Step 5

Multiply $2$ by $2$ .

$4$