The problem asks to simplify the expression $\sqrt{(\frac{6}{5})^2}$.

1. Problem Description

The problem asks to simplify the expression $\sqrt{(\frac{6}{5})^2}$.

2. Solution Steps

We are given the expression $\sqrt{(\frac{6}{5})^2}$.

The square root of a square is the absolute value of the number. Thus,

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

In our case, we have $\sqrt{(\frac{6}{5})^2}$.

Applying the above rule, we get

$\sqrt{(\frac{6}{5})^2} = |\frac{6}{5}|$.

Since $\frac{6}{5}$ is a positive number, the absolute value of $\frac{6}{5}$ is simply $\frac{6}{5}$.

Therefore, $\sqrt{(\frac{6}{5})^2} = \frac{6}{5}$.

3. Final Answer

$\frac{6}{5}$