Calculate the Square Root of 100/4: Step-by-Step Solution

Solve the following exercise:

$\sqrt{\frac{100}{4}}=$

To solve this problem, we'll apply the Square Root Quotient Property to the given expression. The property states that:

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$

Let's apply this property to the expression $\sqrt{\frac{100}{4}}$:

• Step 1: Calculate $\sqrt{100}$. The square root of 100 is 10, because $10 \times 10 = 100$.
• Step 2: Calculate $\sqrt{4}$. The square root of 4 is 2, because $2 \times 2 = 4$.
• Step 3: Divide the results from Step 1 and Step 2, using the formula:
  $\frac{\sqrt{100}}{\sqrt{4}} = \frac{10}{2} = 5$

Therefore, the solution to the problem is $\boxed{5}$.