Algebra Examples

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

Step 1

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

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Step 1.1

Factor out $x^{2}$ .

$x \sqrt{2 (x^{2} x)}$

Step 1.2

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

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

Step 1.3

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$x (x \sqrt{2 x})$

Step 3

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$x \cdot x \sqrt{2 x}$

Step 3.2

Multiply $x$ by $x$ .

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

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

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