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

Video Solution

Solution Steps

00:08 Let's solve this problem together.

00:11 We need the square root of the fraction A divided by B.

00:15 This is the same as the square root of A, divided by the square root of B.

00:20 Let's apply this idea to our example.

00:26 First, break down 100 into 10 squared.

00:31 Then, break down 4 into 2 squared.

00:35 Remember, the square root of any squared number just cancels out the square.

00:40 Let's use this to simplify our problem and cancel out the squares.

00:45 And there you have it, that's our 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 $\boxed{5}$ .