Simplify the Radical Expression ( square root of 1200)/( square root of 4)

$\frac{\sqrt{1200}}{\sqrt{4}}$

Step 1

Combine $\sqrt{1200}$ and $\sqrt{4}$ into a single radical.

$\sqrt{\frac{1200}{4}}$

Step 2

Divide $1200$ by $4$ .

$\sqrt{300}$

Step 3

Rewrite $300$ as $10^{2} \cdot 3$ .

Factor $100$ out of $300$ .

$\sqrt{100 (3)}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2} \cdot 3}$

Step 4

Pull terms out from under the radical.

$| 10 | \sqrt{3}$

Step 5

The absolute value is the distance between a number and zero. The distance between $0$ and $10$ is $10$ .

$10 \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{3}$

Decimal Form:

$17.32050807 \dots$