Evaluate square root of (2x^5)/18

$\sqrt{\frac{2 x^{5}}{18}}$

Reduce the expression $\frac{2 x^{5}}{18}$ by cancelling the common factors.

Factor $2$ out of $2 x^{5}$ .

$\sqrt{\frac{2 (x^{5})}{18}}$

Factor $2$ out of $18$ .

$\sqrt{\frac{2 x^{5}}{2 \cdot 9}}$

Cancel the common factor.

$\sqrt{\frac{2 x^{5}}{2 \cdot 9}}$

Rewrite the expression.

$\sqrt{\frac{x^{5}}{9}}$

Rewrite $\frac{x^{5}}{9}$ as ${(\frac{x^{2}}{3})}^{2} x$ .

Factor the perfect power ${(x^{2})}^{2}$ out of $x^{5}$ .

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

Factor the perfect power $3^{2}$ out of $9$ .

$\sqrt{\frac{{(x^{2})}^{2} x}{3^{2} \cdot 1}}$

Rearrange the fraction $\frac{{(x^{2})}^{2} x}{3^{2} \cdot 1}$ .

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

Pull terms out from under the radical.

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

Combine $\frac{x^{2}}{3}$ and $\sqrt{x}$ .

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