Trigonometry Examples

$\frac{\sqrt{120}}{\sqrt{6}}$

Step 1

Combine $\sqrt{120}$ and $\sqrt{6}$ into a single radical.

$\sqrt{\frac{120}{6}}$

Step 2

Divide $120$ by $6$ .

$\sqrt{20}$

Step 3

Rewrite $20$ as $2^{2} \cdot 5$ .

Tap for more steps...

Step 3.1

Factor $4$ out of $20$ .

$\sqrt{4 (5)}$

Step 3.2

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

$\sqrt{2^{2} \cdot 5}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{5}$

Decimal Form:

$4.47213595 \dots$