Simplify square root of 10y^18z

$\sqrt{10 y^{18} z}$

Rewrite $10 y^{18} z$ as ${(y^{3^{2}})}^{2} \cdot (10 z)$ .

Rewrite $y^{18}$ as ${(y^{9})}^{2}$ .

$\sqrt{10 {(y^{9})}^{2} z}$

Reorder $10$ and ${(y^{9})}^{2}$ .

$\sqrt{{(y^{9})}^{2} \cdot 10 z}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{{(y^{3^{2}})}^{2} \cdot 10 z}$

Add parentheses.

$\sqrt{{(y^{3^{2}})}^{2} \cdot (10 z)}$

Pull terms out from under the radical.

$y^{3^{2}} \sqrt{10 z}$

Raise $3$ to the power of $2$ .

$y^{9} \sqrt{10 z}$