Trigonometry Examples

$\frac{8 \sqrt{24}}{2 \sqrt{6}}$

Step 1

Cancel the common factor of $8$ and $2$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $8 \sqrt{24}$ .

$\frac{2 (4 \sqrt{24})}{2 \sqrt{6}}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $2$ out of $2 \sqrt{6}$ .

$\frac{2 (4 \sqrt{24})}{2 (\sqrt{6})}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (4 \sqrt{24})}{2 \sqrt{6}}$

Step 1.2.3

Rewrite the expression.

$\frac{4 \sqrt{24}}{\sqrt{6}}$

Step 2

Combine $\sqrt{24}$ and $\sqrt{6}$ into a single radical.

$4 \sqrt{\frac{24}{6}}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Divide $24$ by $6$ .

$4 \sqrt{4}$

Step 3.2

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

$4 \sqrt{2^{2}}$

Step 4

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

$4 \cdot 2$

Step 5

Multiply $4$ by $2$ .

$8$