Which is a perfect square among 20, 21, 24, and 25? This question often puzzles many, especially those who are new to mathematics. In this article, we will explore the properties of these numbers and determine which one is a perfect square. Let’s delve into the fascinating world of numbers and discover the answer together.
In mathematics, 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 x 2. Now, let’s examine the given numbers: 20, 21, 24, and 25.
Starting with 20, we can quickly determine that it is not a perfect square. This is because there is no integer that, when squared, equals 20. The same goes for 21 and 24. Both of these numbers do not have an integer square root. However, 25 is different.
To verify if 25 is a perfect square, we need to find an integer that, when squared, equals 25. The answer is 5, as 5 x 5 = 25. Therefore, 25 is a perfect square. Now that we have identified the perfect square among the given numbers, let’s discuss why the other numbers are not perfect squares.
20, 21, and 24 are not perfect squares because they do not have an integer square root. In other words, when we try to find the square root of these numbers, we end up with a decimal value. For instance, the square root of 20 is approximately 4.47, and the square root of 21 is approximately 4.58. Since these values are not integers, the numbers 20, 21, and 24 cannot be classified as perfect squares.
In conclusion, among the numbers 20, 21, 24, and 25, only 25 is a perfect square. This is due to the fact that 25 can be expressed as the square of an integer, specifically 5. Understanding the properties of perfect squares is an essential aspect of mathematics, and by exploring these numbers, we can deepen our knowledge of the fascinating world of numbers.
