Simplify square root of (48x^2y)/49

$\sqrt{\frac{48 x^{2} y}{49}}$

Step 1

Rewrite $\frac{48 x^{2} y}{49}$ as ${(\frac{4 x}{7})}^{2} (3 y)$ .

Factor the perfect power ${(4 x)}^{2}$ out of $48 x^{2} y$ .

$\sqrt{\frac{{(4 x)}^{2} \cdot (3 y)}{49}}$

Factor the perfect power $7^{2}$ out of $49$ .

$\sqrt{\frac{{(4 x)}^{2} \cdot (3 y)}{7^{2} \cdot 1}}$

Rearrange the fraction $\frac{{(4 x)}^{2} \cdot (3 y)}{7^{2} \cdot 1}$ .

$\sqrt{{(\frac{4 x}{7})}^{2} (3 y)}$

Step 2

Pull terms out from under the radical.

$\frac{4 x}{7} \sqrt{3 y}$

Step 3

Combine $\frac{4 x}{7}$ and $\sqrt{3 y}$ .

$\frac{4 x \sqrt{3 y}}{7}$