Simplify square root of 4* square root of 36

$\sqrt{4} \cdot \sqrt{36}$

Step 1

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

$\sqrt{2^{2}} \cdot \sqrt{36}$

Step 2

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

$2 \cdot \sqrt{36}$

Step 3

Rewrite $36$ as $6^{2}$ .

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

Step 4

Multiply.

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

$2 \cdot 6$

Multiply $2$ by $6$ .

$12$