Simplify square root of 12* square root of 4

$\sqrt{12} \cdot \sqrt{4}$

Step 1

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

Factor $4$ out of $12$ .

$\sqrt{4 (3)} \cdot \sqrt{4}$

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

$\sqrt{2^{2} \cdot 3} \cdot \sqrt{4}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{3} \cdot \sqrt{4}$

Step 3

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

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

Step 4

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

$2 \sqrt{3} \cdot 2$

Step 5

Multiply $2$ by $2$ .

$4 \sqrt{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{3}$

Decimal Form:

$6.92820323 \dots$