Trigonometry Examples

$\sqrt{16 x^{2} y^{7}}$

Step 1

Rewrite $16 x^{2} y^{7}$ as ${(4 x y^{3})}^{2} y$ .

Tap for more steps...

Step 1.1

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} x^{2} y^{7}}$

Step 1.2

Factor out $y^{6}$ .

$\sqrt{4^{2} x^{2} (y^{6} y)}$

Step 1.3

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

$\sqrt{4^{2} x^{2} ({(y^{3})}^{2} y)}$

Step 1.4

Rewrite $4^{2} x^{2} {(y^{3})}^{2}$ as ${(4 x y^{3})}^{2}$ .

$\sqrt{{(4 x y^{3})}^{2} y}$

Step 2

Pull terms out from under the radical.

$4 x y^{3} \sqrt{y}$