Which is a perfect square among 5, 8, 36, and 44? This question often puzzles many people, especially those who are not well-versed in mathematics. In this article, we will explore the concept of perfect squares and determine which number from the given list fits the criteria.
A perfect square is a number that can be expressed as the square of an integer. In other words, it is the product of a number multiplied by itself. For example, 4 is a perfect square because it can be written as 2 multiplied by 2 (2 x 2 = 4). Similarly, 9 is a perfect square because it is the square of 3 (3 x 3 = 9).
Now, let’s examine the numbers provided: 5, 8, 36, and 44. To determine which one is a perfect square, we can square each number and see if the result is an integer.
Starting with 5, when we square it, we get 25. Since 25 is not an integer, we can conclude that 5 is not a perfect square. Moving on to 8, when we square it, we get 64. However, 64 is not an integer either, so 8 is not a perfect square.
Next, let’s consider 36. When we square 36, we get 1296. This time, the result is an integer, which means 36 is a perfect square. The square root of 36 is 6, as 6 multiplied by 6 equals 36.
Finally, we have 44. When we square 44, we get 1936. Like the previous numbers, 1936 is not an integer, so 44 is not a perfect square.
In conclusion, among the numbers 5, 8, 36, and 44, only 36 is a perfect square. This is because it can be expressed as the square of an integer, specifically 6. Understanding the concept of perfect squares is essential in various mathematical fields and can help us identify patterns and solve problems more efficiently.
