Simplify the Square Root: √(196/49) Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Step 1: Apply the square root quotient property.
• Step 2: Calculate the square roots of the numerator and the denominator.
• Step 3: Simplify the resulting expression.

Now, let's work through each step:
Step 1: Apply the square root quotient property $\sqrt{\frac{196}{49}} = \frac{\sqrt{196}}{\sqrt{49}}$.
Step 2: Calculate the individual square roots: $\sqrt{196} = 14$ and $\sqrt{49} = 7$.
Step 3: Simplify the expression to $\frac{14}{7} = 2$.

Therefore, the solution to the problem is 2.