Is 117 a perfect square? This question often arises when dealing with numbers and their properties. To answer this, we need to understand what a perfect square is and how to determine if a number is a perfect square or not.
A perfect square is a number that can be expressed as the square of an integer. In other words, if you multiply an integer by itself, the result is a perfect square. For example, 4 is a perfect square because it is the square of 2 (2 2 = 4). Similarly, 9 is a perfect square because it is the square of 3 (3 3 = 9).
To determine if a number is a perfect square, we can calculate its square root. If the square root is an integer, then the number is a perfect square. In the case of 117, we need to find its square root. The square root of 117 is approximately 10.82. Since this value is not an integer, we can conclude that 117 is not a perfect square.
The closest perfect squares to 117 are 100 and 121. 100 is the square of 10, and 121 is the square of 11. Therefore, 117 lies between these two perfect squares. This further confirms that 117 is not a perfect square.
Understanding the concept of perfect squares is essential in various mathematical and real-life scenarios. It helps us identify patterns, solve problems, and simplify calculations. By knowing whether a number is a perfect square or not, we can better understand its properties and relationships with other numbers.
In conclusion, 117 is not a perfect square. It lies between the perfect squares of 10 and 11. This knowledge can be useful in various mathematical and practical applications, allowing us to make informed decisions and solve problems efficiently.
