Algebra Examples

$\sqrt{5 x^{2} \cdot 2 y}$

Step 1

Multiply $2$ by $5$ .

$\sqrt{10 x^{2} y}$

Step 2

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

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Step 2.1

Reorder $10$ and $x^{2}$ .

$\sqrt{x^{2} \cdot 10 y}$

Step 2.2

Add parentheses.

$\sqrt{x^{2} \cdot (10 y)}$

$\sqrt{x^{2} \cdot (10 y)}$

Step 3

Pull terms out from under the radical.

$x \sqrt{10 y}$

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