Is 116 a Perfect Square- Unraveling the Mathematical Mystery Behind the Number

by liuqiyue

Is 116 a perfect square? This question often arises when people encounter the number 116 in various contexts. In this article, we will explore the nature of the number 116 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. In other words, if a number is a perfect square, it can be written as n^2, where n is an integer. 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 116 is a perfect square, we need to find an integer n such that n^2 = 116. Let’s calculate the square root of 116 to see if it results in an integer.

The square root of 116 is approximately 10.77. Since this value is not an integer, we can conclude that 116 is not a perfect square. Instead, it falls between the perfect squares of 10 (100) and 11 (121).

In conclusion, 116 is not a perfect square. It is a composite number, meaning it has factors other than 1 and itself. The next perfect square after 116 is 121, which is the square of 11.

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