Simplify square root of 6xy^10

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

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

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

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

Move $x$ .

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

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

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

Add parentheses.

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

Pull terms out from under the radical.

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