Simplify 4 square root of 66g^2h^4

$4 \sqrt{66 g^{2} h^{4}}$

Step 1

Rewrite $66 g^{2} h^{4}$ as ${(g h^{2})}^{2} \cdot 66$ .

Rewrite $h^{4}$ as ${(h^{2})}^{2}$ .

$4 \sqrt{66 g^{2} {(h^{2})}^{2}}$

Move $66$ .

$4 \sqrt{g^{2} {(h^{2})}^{2} \cdot 66}$

Rewrite $g^{2} {(h^{2})}^{2}$ as ${(g h^{2})}^{2}$ .

$4 \sqrt{{(g h^{2})}^{2} \cdot 66}$

Step 2

Pull terms out from under the radical.

$4 g h^{2} \sqrt{66}$