Simplify ( square root of 63xy^3)/( square root of 7y)

$\frac{\sqrt{63 x y^{3}}}{\sqrt{7 y}}$

Combine $\sqrt{63 x y^{3}}$ and $\sqrt{7 y}$ into a single radical.

$\sqrt{\frac{63 x y^{3}}{7 y}}$

Reduce the expression $\frac{63 x y^{3}}{7 y}$ by cancelling the common factors.

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Factor $7$ out of $63 x y^{3}$ .

$\sqrt{\frac{7 (9 x y^{3})}{7 y}}$

Factor $7$ out of $7 y$ .

$\sqrt{\frac{7 (9 x y^{3})}{7 (y)}}$

Cancel the common factor.

$\sqrt{\frac{7 (9 x y^{3})}{7 y}}$

Rewrite the expression.

$\sqrt{\frac{9 x y^{3}}{y}}$

Reduce the expression by cancelling the common factors.

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Reduce the expression $\frac{9 x y^{3}}{y}$ by cancelling the common factors.

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Factor $y$ out of $9 x y^{3}$ .

$\sqrt{\frac{y (9 x y^{2})}{y}}$

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

$\sqrt{\frac{y (9 x y^{2})}{y^{1}}}$

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

$\sqrt{\frac{y (9 x y^{2})}{y \cdot 1}}$

Cancel the common factor.

$\sqrt{\frac{y (9 x y^{2})}{y \cdot 1}}$

Rewrite the expression.

$\sqrt{\frac{9 x y^{2}}{1}}$

Divide $9 x y^{2}$ by $1$ .

$\sqrt{9 x y^{2}}$

Rewrite $9 x y^{2}$ as ${(3 y)}^{2} x$ .

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Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} x y^{2}}$

Move $x$ .

$\sqrt{3^{2} y^{2} x}$

Rewrite $3^{2} y^{2}$ as ${(3 y)}^{2}$ .

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

Pull terms out from under the radical.

$3 y \sqrt{x}$

Simplify ( square root of 63xy^3)/( square root of 7y)

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