Solve Square Root of 1/36: Simplifying Radical Fractions

In order to determine the square root of the following fraction $\frac{1}{36}$, we will apply the square root property for fractions. This property states that the square root of a fraction is the fraction of the square roots of the numerator and the denominator. Let's follow these steps:

• Step 1: Identify the given fraction, which is $\frac{1}{36}$.

• Step 2: Apply the square root property as follows $\sqrt{\frac{1}{36}} = \frac{\sqrt{1}}{\sqrt{36}}$.

• Step 3: Calculate the square root of the numerator: $\sqrt{1} = 1$.

• Step 4: Calculate the square root of the denominator: $\sqrt{36} = 6$.

• Step 5: Form the fraction: $\frac{1}{6}$.

By following these steps, we have successfully simplified the expression. Therefore, the square root of $\frac{1}{36}$ is $\frac{1}{6}$.

Thus, the correct and final answer to the problem $\sqrt{\frac{1}{36}} =$ is $\frac{1}{6}$.