What is the greatest perfect square of 250? This question may seem straightforward, but it requires some mathematical exploration to find the answer. In this article, we will delve into the world of perfect squares and determine the largest perfect square that is less than or equal to 250.
Perfect squares are numbers that can be expressed as the product of an integer with itself. For example, 1, 4, 9, 16, 25, and so on, are all perfect squares. The square root of a perfect square is always an integer. To find the greatest perfect square of 250, we need to identify the largest integer whose square is less than or equal to 250.
To begin, we can take the square root of 250 and round it down to the nearest integer. The square root of 250 is approximately 15.81. Rounding down, we get 15. Now, we need to square this integer to find the largest perfect square less than or equal to 250.
15^2 = 225
Therefore, the greatest perfect square of 250 is 225. This means that 225 is the largest number that can be expressed as the product of an integer with itself and is less than or equal to 250. In other words, 225 is the largest perfect square that can be found within the range of numbers from 1 to 250.
In conclusion, the answer to the question “What is the greatest perfect square of 250?” is 225. This result highlights the beauty and simplicity of mathematics, as well as the importance of understanding the properties of perfect squares.
