Simplify square root of 49/(y^2)

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

Step 1

Rewrite $49$ as $7^{2}$ .

$\sqrt{\frac{7^{2}}{y^{2}}}$

Step 2

Rewrite $\frac{7^{2}}{y^{2}}$ as ${(\frac{7}{y})}^{2}$ .

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

Step 3

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

$\frac{7}{y}$