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

Video Solution

Solution Steps

00:00 Solve the following problem

00:03 The root of the fraction (A divided by B)

00:07 Equals the root of the numerator (A) divided by the root of the denominator (B)

00:11 Apply this formula to our exercise

00:18 Break down 100 to 10 squared

00:23 Break down 4 to 2 squared

00:26 The root of any number (A) squared cancels the square

00:31 Apply this formula to our exercise and proceed to cancel out the squares

00:35 This is the solution

Step-by-Step Solution

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 $\boxed{5}$ .