Simplify square root of 6xz^6

$\sqrt{6 x z^{6}}$

Step 1

Rewrite $6 x z^{6}$ as ${(z^{3})}^{2} \cdot (6 x)$ .

Rewrite $z^{6}$ as ${(z^{3})}^{2}$ .

$\sqrt{6 x {(z^{3})}^{2}}$

Move $x$ .

$\sqrt{6 {(z^{3})}^{2} x}$

Reorder $6$ and ${(z^{3})}^{2}$ .

$\sqrt{{(z^{3})}^{2} \cdot 6 x}$

Add parentheses.

$\sqrt{{(z^{3})}^{2} \cdot (6 x)}$

Step 2

Pull terms out from under the radical.

$z^{3} \sqrt{6 x}$