Is 98 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, examine the number 98, and determine whether it qualifies as a perfect square or not.
Perfect squares are numbers that can be expressed as the product of an integer with itself. For instance, 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). The square root of a perfect square is always an integer.
To determine if 98 is a perfect square, we need to find its square root. The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2, and the square root of 9 is 3.
Let’s calculate the square root of 98. The square root of 98 is approximately 9.899494937. Since the square root of 98 is not an integer, we can conclude that 98 is not a perfect square. Instead, it is a non-perfect square or a composite number.
Non-perfect squares are those numbers whose square roots are not integers. They can be further classified into prime numbers and composite numbers. Prime numbers have only two factors: 1 and the number itself, while composite numbers have more than two factors.
In conclusion, 98 is not a perfect square, as its square root is not an integer. Instead, it is a composite number with factors other than 1 and itself. Understanding the properties of perfect squares and non-perfect squares is essential in various mathematical concepts and applications.
