Simplify square root of 14x^10y

$\sqrt{14 x^{10} y}$

Step 1

Rewrite $14 x^{10} y$ as ${(x^{5})}^{2} \cdot (14 y)$ .

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

$\sqrt{14 {(x^{5})}^{2} y}$

Reorder $14$ and ${(x^{5})}^{2}$ .

$\sqrt{{(x^{5})}^{2} \cdot 14 y}$

Add parentheses.

$\sqrt{{(x^{5})}^{2} \cdot (14 y)}$

Step 2

Pull terms out from under the radical.

$x^{5} \sqrt{14 y}$