Simplify square root of 6xz^10

$\sqrt{6 x z^{10}}$

Step 1

Rewrite $6 x z^{10}$ as ${(z^{5})}^{2} \cdot (6 x)$ .

Rewrite $z^{10}$ as ${(z^{5})}^{2}$ .

$\sqrt{6 x {(z^{5})}^{2}}$

Move $x$ .

$\sqrt{6 {(z^{5})}^{2} x}$

Reorder $6$ and ${(z^{5})}^{2}$ .

$\sqrt{{(z^{5})}^{2} \cdot 6 x}$

Add parentheses.

$\sqrt{{(z^{5})}^{2} \cdot (6 x)}$

Step 2

Pull terms out from under the radical.

$z^{5} \sqrt{6 x}$