Pre-Algebra Examples

$\sqrt{8 x^{2} y^{4} + 16 x y}$

Step 1

Factor $8 x y$ out of $8 x^{2} y^{4} + 16 x y$ .

Tap for more steps...

Step 1.1

Factor $8 x y$ out of $8 x^{2} y^{4}$ .

$\sqrt{8 x y (x y^{3}) + 16 x y}$

Step 1.2

Factor $8 x y$ out of $16 x y$ .

$\sqrt{8 x y (x y^{3}) + 8 x y (2)}$

Step 1.3

Factor $8 x y$ out of $8 x y (x y^{3}) + 8 x y (2)$ .

$\sqrt{8 x y (x y^{3} + 2)}$

Step 2

Rewrite $8 x y (x y^{3} + 2)$ as $2^{2} \cdot (2 x y (x y^{3} + 2))$ .

Tap for more steps...

Step 2.1

Factor $4$ out of $8$ .

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

Step 2.2

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

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

Step 2.3

Add parentheses.

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

Step 2.4

Add parentheses.

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

Step 2.5

Add parentheses.

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

Step 3

Pull terms out from under the radical.

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