Simplify square root of (x^2)/(4y^2)

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

Step 1

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

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

Step 2

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

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

Step 3

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

$\frac{x}{2 y}$