Is 841 a perfect square? This question often arises when dealing with numbers and their properties. In this article, we will explore the concept of perfect squares and determine whether 841 fits the criteria. By understanding the definition and properties of perfect squares, we can confidently answer this intriguing question.
Perfect squares are numbers that can be expressed as the square of an integer. In other words, if a number is a perfect square, it can be written as the product of an integer multiplied by itself. For example, 16 is a perfect square because it can be expressed as 4 multiplied by 4 (4^2). Similarly, 25 is a perfect square as it is 5 multiplied by 5 (5^2).
To determine if a number is a perfect square, we can take the square root of the number and check if the result is an integer. If the square root is an integer, then the number is a perfect square. Conversely, if the square root is a decimal or a fraction, the number is not a perfect square.
Now, let’s apply this method to the number 841. To find the square root of 841, we can use a calculator or estimate it by finding the closest perfect squares around 841. The perfect squares closest to 841 are 64 (8^2) and 81 (9^2). Since 841 is between these two perfect squares, we can conclude that the square root of 841 lies between 8 and 9.
To confirm this, we can calculate the square root of 841 using a calculator. The square root of 841 is approximately 29.11. Since 29.11 is not an integer, we can conclude that 841 is not a perfect square.
In conclusion, the answer to the question “Is 841 a perfect square?” is no. 841 does not meet the criteria of being a perfect square because its square root is not an integer. Understanding the properties of perfect squares helps us identify and classify numbers accurately.
