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

Question

Solve the following exercise:

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

00:00 Solve the following problem

00:03 When we have a root of a fraction (A divided by B)

00:06 We can write it as root of the numerator (A) divided by the root of the denominator (B)

00:10 Apply this formula to our exercise

00:16 Break down 144 to 12 squared

00:20 Break down 36 to 6 squared

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

00:29 Apply this formula to our exercise and proceed to cancel out the squares

00:36 This 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 $2$ .

$2$