Simplify 2 square root of 4*3 square root of 30

$2 \sqrt{4} \cdot 3 \sqrt{30}$

Step 1

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

$2 \sqrt{2^{2}} \cdot (3 \sqrt{30})$

Step 2

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

$2 \cdot 2 \cdot (3 \sqrt{30})$

Step 3

Multiply $2$ by $2$ .

$4 \cdot (3 \sqrt{30})$

Step 4

Multiply $3$ by $4$ .

$12 \sqrt{30}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{30}$

Decimal Form:

$65.72670690 \dots$