Simplify ( square root of x^3)/( square root of x)

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

Step 1

Combine $\sqrt{x^{3}}$ and $\sqrt{x}$ into a single radical.

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

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{x^{3}}{x}$ by cancelling the common factors.

Factor $x$ out of $x^{3}$ .

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

Raise $x$ to the power of $1$ .

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

Factor $x$ out of $x^{1}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$\sqrt{x^{2}}$

Step 3

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

$x$