Is 95 a perfect square? This question often arises when people encounter the number 95 in various mathematical contexts. To answer this, we need to delve into the definition of a perfect square and analyze the properties of the number 95.
A perfect square is a number that can be expressed as the square of an integer. In other words, if a number n is a perfect square, there exists an integer k such that n = k^2. For instance, 16 is a perfect square because it can be written as 4^2. On the other hand, 95 is not a perfect square, as it cannot be expressed as the square of any integer.
To determine whether a number is a perfect square or not, we can take the square root of the number and check if the result is an integer. In the case of 95, the square root of 95 is approximately 9.7468. Since this value is not an integer, we can conclude that 95 is not a perfect square.
However, it is worth noting that 95 is a composite number, meaning it has factors other than 1 and itself. In this regard, we can factorize 95 as 5 19. This factorization helps us understand the properties of 95 and its relationship with perfect squares.
In summary, 95 is not a perfect square because it cannot be expressed as the square of an integer. Its factorization into 5 19 reveals its composite nature, further highlighting the differences between perfect squares and other numbers.
