Basic Math Examples

$\frac{\sqrt{x^{6}}}{\sqrt{x^{4}}}$

Step 1

Combine $\sqrt{x^{6}}$ and $\sqrt{x^{4}}$ into a single radical.

$\sqrt{\frac{x^{6}}{x^{4}}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Reduce the expression $\frac{x^{6}}{x^{4}}$ by cancelling the common factors.

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Step 2.1.1

Factor $x^{4}$ out of $x^{6}$ .

$\sqrt{\frac{x^{4} x^{2}}{x^{4}}}$

Step 2.1.2

Multiply by $1$ .

$\sqrt{\frac{x^{4} x^{2}}{x^{4} \cdot 1}}$

Step 2.1.3

Cancel the common factor.

$\sqrt{\frac{x^{4} x^{2}}{x^{4} \cdot 1}}$

Step 2.1.4

Rewrite the expression.

$\sqrt{\frac{x^{2}}{1}}$

Step 2.2

Divide $x^{2}$ by $1$ .

$\sqrt{x^{2}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$x$