Evaluate ( square root of 48)/( square root of 2)

$\frac{\sqrt{48}}{\sqrt{2}}$

Step 1

Combine $\sqrt{48}$ and $\sqrt{2}$ into a single radical.

$\sqrt{\frac{48}{2}}$

Step 2

Divide $48$ by $2$ .

$\sqrt{24}$

Step 3

Rewrite $24$ as $2^{2} \cdot 6$ .

Factor $4$ out of $24$ .

$\sqrt{4 (6)}$

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

$\sqrt{2^{2} \cdot 6}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{6}$

Decimal Form:

$4.89897948 \dots$