What is the perfect square of 28? This question often arises when dealing with mathematical problems or when trying to understand the properties of numbers. In this article, we will explore the concept of perfect squares and determine the perfect square that is closest to 28.
A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, 25, and 36 are all perfect squares because they can be obtained by multiplying an integer by itself. In other words, they are the product of a number with itself.
To find the perfect square of 28, we need to determine the nearest integer whose square is closest to 28. One way to do this is by considering the square root of 28. The square root of a number is the value that, when multiplied by itself, gives the original number. In the case of 28, the square root is approximately 5.29.
Since the square root of 28 is not an integer, we need to find the nearest integer to 5.29. The closest integer to 5.29 is 5. Therefore, we will square 5 to find the perfect square closest to 28.
5 squared is 25, which is the perfect square that is closest to 28. However, 25 is less than 28. To find the next perfect square, we can square the next integer, which is 6.
6 squared is 36, which is greater than 28. Therefore, the perfect square of 28 lies between 25 and 36. The perfect square that is closest to 28 is 25, as it is the nearest perfect square on the lower side of 28.
In conclusion, the perfect square of 28 is not a whole number, but the perfect square that is closest to 28 is 25. This demonstrates the fascinating properties of numbers and how they can be used to solve mathematical problems.
