Algebra Examples

$\sqrt{\frac{x^{24}}{9}}$

Step 1

Rewrite $x^{24}$ as ${(x^{12})}^{2}$ .

$\sqrt{\frac{{(x^{12})}^{2}}{9}}$

Step 2

Rewrite $9$ as $3^{2}$ .

$\sqrt{\frac{{(x^{12})}^{2}}{3^{2}}}$

Step 3

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

$\sqrt{{(\frac{x^{12}}{3})}^{2}}$

Step 4

Pull terms out from under the radical.

$| \frac{x^{12}}{3} |$

Step 5

Remove non-negative terms from the absolute value.

$\frac{x^{12}}{3}$