Is 360 a perfect square? This question often arises when people encounter the number 360 in various mathematical contexts. To answer this question, we need to understand what a perfect square is and how to determine if a number is a perfect square.
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, then there exists an integer ‘m’ such that n = m^2. For example, 16 is a perfect square because it can be expressed as 4^2, and 25 is a perfect square because it can be expressed as 5^2.
To determine if a number is a perfect square, we can calculate its square root and check if the result is an integer. If the square root is an integer, then the number is a perfect square; otherwise, it is not. In the case of 360, let’s calculate its square root.
The square root of 360 is approximately 18.97. Since 18.97 is not an integer, we can conclude that 360 is not a perfect square. This means that there is no integer ‘m’ such that 360 = m^2.
Understanding the concept of perfect squares is essential in various mathematical fields, such as algebra, geometry, and number theory. It helps us identify patterns and relationships between numbers, as well as solve problems involving square roots and quadratic equations.
In conclusion, the answer to the question “Is 360 a perfect square?” is no. 360 is not a perfect square because its square root is not an integer. This knowledge can be applied to further explore the properties of numbers and their relationships in mathematics.
