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

Question

Complete the following exercise:

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

00:00 Solve the following problem

00:03 Calculate the division

00:06 Break down 4 into 2 squared

00:11 The square root of any number (A) squared cancels out the square

00:14 Apply this formula to our exercise and proceed to cancel out the square:

00:17 This is the solution

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 $2$ .