Simplify the Radical Expression 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.

$| \frac{7}{y} |$

Step 4

Remove non-negative terms from the absolute value.

$\frac{7}{| y |}$