Simplify the radical. Assume that all variables represent positive real \( \sqrt{\frac{w}{81}} \)

To simplify the radical \( \sqrt{\frac{w}{81}} \), you can separate it into two parts: the numerator and the denominator. This gives you: \[ \sqrt{\frac{w}{81}} = \frac{\sqrt{w}}{\sqrt{81}}. \] Since \( \sqrt{81} = 9 \), the expression simplifies to: \[ \frac{\sqrt{w}}{9}. \] So, the final result is: \[ \frac{\sqrt{w}}{9}. \] Now you've transformed that radical into a much simpler form!