Is 135 a perfect square? This question often arises when people encounter the number 135 in various mathematical contexts. In this article, we will explore the nature of 135 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, 16 is a perfect square because it is the square of 4 (4^2 = 16). To determine if 135 is a perfect square, we need to find an integer that, when squared, equals 135.
To do this, we can take the square root of 135 and check if the result is an integer. The square root of 135 is approximately 11.618. Since this value is not an integer, we can conclude that 135 is not a perfect square.
Moreover, we can also verify this by listing the perfect squares and comparing them with 135. The perfect squares less than 135 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144. None of these numbers are equal to 135, further confirming that 135 is not a perfect square.
In conclusion, 135 is not a perfect square because it cannot be expressed as the square of an integer. This fact can be useful in various mathematical problems and applications, where understanding the properties of numbers is crucial.
