Rationalize the denominator and simplify. sqrt ((81m)/(5pi )),ngt 0,mgeqslant 0 (9sqrt (5mn))/(5n) (9sqrt (m))/(5n) o (9sqrt (5mn))/(25) (9sqrt (5mn))/(25n^2)

## Step 1: Simplify the Radical Expression### Start by simplifying the expression under the square root. The given expression is . We can separate this into two parts: and . Since is a perfect square, we have .## Step 2: Rationalize the Denominator### To rationalize the denominator, multiply both the numerator and the denominator by to eliminate the square root in the denominator. This gives us: ## Step 3: Verify the Simplification### Ensure that the expression is fully simplified and matches one of the provided options. The expression is already in its simplest form.