Simplify square root of 10xy^6

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

Step 1

Rewrite $10 x y^{6}$ as ${(y^{3})}^{2} \cdot (10 x)$ .

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

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

Move $x$ .

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

Reorder $10$ and ${(y^{3})}^{2}$ .

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

Add parentheses.

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

Step 2

Pull terms out from under the radical.

$y^{3} \sqrt{10 x}$