Algebra Examples

$\sqrt{x y^{5}} z^{20}$

Step 1

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

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Step 1.1

Factor out $y^{4}$ .

$\sqrt{x (y^{4} y)} z^{20}$

Step 1.2

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

$\sqrt{x ({(y^{2})}^{2} y)} z^{20}$

Step 1.3

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

$\sqrt{{(y^{2})}^{2} x y} z^{20}$

Step 1.4

Add parentheses.

$\sqrt{{(y^{2})}^{2} (x y)} z^{20}$

$\sqrt{{(y^{2})}^{2} (x y)} z^{20}$

Step 2

Pull terms out from under the radical.

$y^{2} \sqrt{x y} z^{20}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$