# Solving the Puzzle: The Square Root of 48

Solving the Puzzle: The Square Root of 48

Finding the square root of any number can be a challenge for many people. However, with the right approach, you can easily solve this puzzle. In this article, we will discuss how to find the square root of 48.

To begin, we must understand what the square root of a number means. The square root of a number is a value that, when multiplied by itself, gives the original number as a result. For instance, the square root of 25 is 5 because 5 x 5 equals 25.

Now, let’s apply this concept to find the square root of 48. There are different approaches to accomplish this task; however, we will use a simple method that involves prime factorization.

To start, we need to find the prime factors of 48. We can represent this number as 2^4 x 3^1. Then, we group the prime factors in pairs and take one factor from each pair. We get 2 x 2 x sqrt(12).

Next, we observe that 12 can further be broken down as 2^2 x 3^1. Using the same grouping technique, we get 2 x 2 x 3 x sqrt(3). Finally, we multiply all the factors together to get the square root of 48 as 4 x sqrt(3).