The problem is to simplify the expression $\sqrt{(3-\pi)^2}$.

1. Problem Description

The problem is to simplify the expression $\sqrt{(3-\pi)^2}$.

2. Solution Steps

We need to simplify the expression $\sqrt{(3-\pi)^2}$. Recall the following property:

$\sqrt{x^2} = |x|$

Therefore, $\sqrt{(3-\pi)^2} = |3-\pi|$.

Since $\pi \approx 3.14159$, we have that $3 - \pi < 0$. The absolute value of a negative number is its negation.

Therefore, $|3 - \pi| = -(3-\pi) = \pi - 3$.

3. Final Answer

$\pi - 3$