Algebra Examples

${(\frac{12 x}{4})}^{\frac{1}{2}}$

Step 1

Reduce the expression $\frac{12 x}{4}$ by cancelling the common factors.

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Step 1.1

Factor $4$ out of $12 x$ .

${(\frac{4 (3 x)}{4})}^{\frac{1}{2}}$

Step 1.2

Factor $4$ out of $4$ .

${(\frac{4 (3 x)}{4 (1)})}^{\frac{1}{2}}$

Step 1.3

Cancel the common factor.

${(\frac{4 (3 x)}{4 \cdot 1})}^{\frac{1}{2}}$

Step 1.4

Rewrite the expression.

${(\frac{3 x}{1})}^{\frac{1}{2}}$

Step 2

Divide $3 x$ by $1$ .

${(3 x)}^{\frac{1}{2}}$

Step 3

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{{(3 x)}^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt{3 x}$