Solve Square Root: Simplifying √(144/36) Step by Step

Question

Solve the following exercise:

$\sqrt{\frac{144}{36}}=$

00:09 Let's solve this problem together.

00:12 When we have a root of a fraction, like A divided by B,

00:17 we can write it as the root of A, over the root of B.

00:21 Now, let's apply this formula to our exercise.

00:25 Break down one hundred forty-four to twelve squared.

00:30 Break down thirty-six to six squared.

00:35 The root of A squared cancels out the square.

00:39 Let's use this to simplify and cancel the squares.

00:45 And there we have it! That is the solution.

To solve the problem $\sqrt{\frac{144}{36}}$ , we will proceed with the following steps:

Step 1: Simplify the fraction $\frac{144}{36}$ . This equals to 4 because $\frac{144}{36} = \frac{144 \div 36}{36 \div 36} = \frac{4}{1}$ .
Step 2: Find the square root of the simplified fraction. Since $\frac{144}{36}$ simplifies to 4, we find $\sqrt{4}$ .
Step 3: Calculate $\sqrt{4}$ , which equals 2.

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

$2$