Is 189 a perfect square? This question often arises when people come across the number 189 and wonder if it can be expressed as the square of an integer. In this article, we will explore the nature of 189 and determine whether it is a perfect square or not.
A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are all perfect squares because they can be written as 1^2, 2^2, 3^2, 4^2, and 5^2, respectively. On the other hand, numbers like 2, 3, 5, and 7 are not perfect squares since they cannot be expressed as the square of any integer.
To determine if 189 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 189 is a perfect square; otherwise, it is not. Let’s calculate the square root of 189.
The square root of 189 is approximately 13.75. Since 13.75 is not an integer, we can conclude that 189 is not a perfect square. Instead, it falls between the perfect squares 144 (12^2) and 196 (14^2).
In conclusion, the answer to the question “Is 189 a perfect square?” is no. The number 189 is not a perfect square because it cannot be expressed as the square of an integer. However, it is a composite number, meaning it has factors other than 1 and itself. In this case, 189 can be factored into 3 3 3 7, which demonstrates its non-perfect square nature.
