Find the square root. \[ \sqrt{\frac{36}{225}} \]

Step 1 ：Find the square root of the fraction \(\frac{36}{225}\).

Step 2 ：The square root of a fraction can be found by taking the square root of the numerator and the square root of the denominator separately. So, we need to find the square root of 36 and the square root of 225.

Step 3 ：The square root of 36 is 6.0 and the square root of 225 is 15.0.

Step 4 ：So, the square root of the fraction \(\frac{36}{225}\) is \(\frac{6.0}{15.0}\) which simplifies to 0.4.

Step 5 ：Final Answer: The square root of the fraction \(\frac{36}{225}\) is \(\boxed{0.4}\).