Simplify square root of 25/(y^2)

$\sqrt{\frac{25}{y^{2}}}$

Step 1

Rewrite $25$ as $5^{2}$ .

$\sqrt{\frac{5^{2}}{y^{2}}}$

Step 2

Rewrite $\frac{5^{2}}{y^{2}}$ as ${(\frac{5}{y})}^{2}$ .

$\sqrt{{(\frac{5}{y})}^{2}}$

Step 3

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

$\frac{5}{y}$