Simplify ( square root of 96)/( square root of 8)

$\frac{\sqrt{96}}{\sqrt{8}}$

Step 1

Combine $\sqrt{96}$ and $\sqrt{8}$ into a single radical.

$\sqrt{\frac{96}{8}}$

Step 2

Divide $96$ by $8$ .

$\sqrt{12}$

Step 3

Rewrite $12$ as $2^{2} \cdot 3$ .

Factor $4$ out of $12$ .

$\sqrt{4 (3)}$

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

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

Step 4

Pull terms out from under the radical.

$2 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{3}$

Decimal Form:

$3.46410161 \dots$