Simplify ( square root of x^5y^3)/( square root of xy)

$\frac{\sqrt{x^{5} y^{3}}}{\sqrt{x y}}$

Combine $\sqrt{x^{5} y^{3}}$ and $\sqrt{x y}$ into a single radical.

$\sqrt{\frac{x^{5} y^{3}}{x y}}$

Reduce the expression $\frac{x^{5} y^{3}}{x y}$ by cancelling the common factors.

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Factor $x$ out of $x^{5} y^{3}$ .

$\sqrt{\frac{x (x^{4} y^{3})}{x y}}$

Factor $x$ out of $x y$ .

$\sqrt{\frac{x (x^{4} y^{3})}{x (y)}}$

Cancel the common factor.

$\sqrt{\frac{x (x^{4} y^{3})}{x y}}$

Rewrite the expression.

$\sqrt{\frac{x^{4} y^{3}}{y}}$

Reduce the expression by cancelling the common factors.

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Reduce the expression $\frac{x^{4} y^{3}}{y}$ by cancelling the common factors.

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Factor $y$ out of $x^{4} y^{3}$ .

$\sqrt{\frac{y (x^{4} y^{2})}{y}}$

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

$\sqrt{\frac{y (x^{4} y^{2})}{y^{1}}}$

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $x^{4} y^{2}$ by $1$ .

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

Rewrite $x^{4} y^{2}$ as ${(x^{2} y)}^{2}$ .

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

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

$x^{2} y$

Simplify ( square root of x^5y^3)/( square root of xy)

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