Question

given all variables below are positive, express in simplest radical form with a rational denominator.
$\frac{sqrt{45x^2}}{sqrt{9x^2}}$

Explanation:

Step1: Combine radicals into one

$\frac{\sqrt{45x^2}}{\sqrt{9x^2}} = \sqrt{\frac{45x^2}{9x^2}}$

Step2: Simplify the fraction inside

$\sqrt{\frac{45x^2}{9x^2}} = \sqrt{5}$

Answer:

$\sqrt{5}$