Find the Reciprocal square root of 9

$\sqrt{9}$

To find the reciprocal, divide $1$ by the number given.

$\frac{1}{\sqrt{9}}$

Simplify the denominator.

Rewrite $9$ as $3^{2}$ .

$\frac{1}{\sqrt{3^{2}}}$

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

$\frac{1}{3}$