Calculate the Square Root of Fraction 100/25: Step-by-Step Solution

Complete the following exercise:

$\sqrt{\frac{100}{25}}=$

To solve this problem, let's apply the following approach:

• Step 1: Simplify the given fraction $\frac{100}{25}$.
• Step 2: Use the formula $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$ to find the square root of the simplified fraction.
• Step 3: Calculate the square root to arrive at the final answer.

Let's start with Step 1:

The fraction $\frac{100}{25}$ simplifies to $4$ because $100 \div 25 = 4$.

Step 2 involves applying the square root:

We can write this as $\sqrt{4}$.

In Step 3, calculate the square root:

$\sqrt{4} = 2$.

Therefore, the solution to the problem is $2$.