Algebra Examples

$\sqrt{12 x^{2}}$

Step 1

Rewrite $12 x^{2}$ as ${(2 x)}^{2} \cdot 3$ .

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Step 1.1

Factor $4$ out of $12$ .

$\sqrt{4 (3) x^{2}}$

Step 1.2

Rewrite $4$ as $2^{2}$ .

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

Step 1.3

Move $3$ .

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

Step 1.4

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

$\sqrt{{(2 x)}^{2} \cdot 3}$

$\sqrt{{(2 x)}^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$2 x \sqrt{3}$

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