Simplify square root of 7y^6z

$\sqrt{7 y^{6} z}$

Step 1

Rewrite $7 y^{6} z$ as ${(y^{3})}^{2} \cdot (7 z)$ .

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

$\sqrt{7 {(y^{3})}^{2} z}$

Reorder $7$ and ${(y^{3})}^{2}$ .

$\sqrt{{(y^{3})}^{2} \cdot 7 z}$

Add parentheses.

$\sqrt{{(y^{3})}^{2} \cdot (7 z)}$

Step 2

Pull terms out from under the radical.

$y^{3} \sqrt{7 z}$