Simplify square root of 81/(x^2)

$\sqrt{\frac{81}{x^{2}}}$

Step 1

Rewrite $81$ as $9^{2}$ .

$\sqrt{\frac{9^{2}}{x^{2}}}$

Step 2

Rewrite $\frac{9^{2}}{x^{2}}$ as ${(\frac{9}{x})}^{2}$ .

$\sqrt{{(\frac{9}{x})}^{2}}$

Step 3

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

$\frac{9}{x}$