Algebra Examples

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

Step 1

Factor $x^{2}$ out of $x^{3} + x^{2}$ .

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Step 1.1

Factor $x^{2}$ out of $x^{3}$ .

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

Step 1.2

Multiply by $1$ .

$\sqrt{x^{2} x + x^{2} \cdot 1}$

Step 1.3

Factor $x^{2}$ out of $x^{2} x + x^{2} \cdot 1$ .

$\sqrt{x^{2} (x + 1)}$

$\sqrt{x^{2} (x + 1)}$

Step 2

Rewrite $1$ as $1^{2}$ .

$\sqrt{x^{2} (x + 1^{2})}$

Step 3

Pull terms out from under the radical.

$x \sqrt{x + 1^{2}}$

Step 4

One to any power is one.

$x \sqrt{x + 1}$

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