Pre-Algebra Examples

$\frac{\sqrt{x^{6}}}{\sqrt{x^{5}}}$

Step 1

Combine $\sqrt{x^{6}}$ and $\sqrt{x^{5}}$ into a single radical.

$\sqrt{\frac{x^{6}}{x^{5}}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Reduce the expression $\frac{x^{6}}{x^{5}}$ by cancelling the common factors.

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Step 2.1.1

Factor $x^{5}$ out of $x^{6}$ .

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

Step 2.1.2

Multiply by $1$ .

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

Step 2.1.3

Cancel the common factor.

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

Step 2.1.4

Rewrite the expression.

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

Step 2.2

Divide $x$ by $1$ .

$\sqrt{x}$