Pre-Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

Factor out $y^{2}$ .

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

Step 1.1.2

Reorder $x$ and $y^{2}$ .

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

Step 1.1.3

Add parentheses.

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

Step 1.2

Pull terms out from under the radical.

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

Step 2

Reorder factors in $x (y \sqrt{x y}) + y \sqrt{x^{3 y}}$ .

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