Simplify the Radical Expression ( square root of x^12)/( square root of x^5)

$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$

Combine $\sqrt{x^{12}}$ and $\sqrt{x^{5}}$ into a single radical.

$\sqrt{\frac{x^{12}}{x^{5}}}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{x^{12}}{x^{5}}$ by cancelling the common factors.

Factor $x^{5}$ out of $x^{12}$ .

$\sqrt{\frac{x^{5} x^{7}}{x^{5}}}$

Multiply by $1$ .

$\sqrt{\frac{x^{5} x^{7}}{x^{5} \cdot 1}}$

Cancel the common factor.

$\sqrt{\frac{x^{5} x^{7}}{x^{5} \cdot 1}}$

Rewrite the expression.

$\sqrt{\frac{x^{7}}{1}}$

Divide $x^{7}$ by $1$ .

$\sqrt{x^{7}}$

Rewrite $x^{7}$ as ${(x^{3})}^{2} x$ .

Factor out $x^{6}$ .

$\sqrt{x^{6} x}$

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

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

Pull terms out from under the radical.

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