No, 1 is not an irrational number. An irrational number is a real number that cannot be expressed as a ratio of two integers, that is, it cannot be written in the form a/b where a and b are integers and b is not equal to 0. The most well-known example of an irrational number is π, but there are many others, such as the square root of 2 (√2), the golden ratio (φ), and e (the base of the natural logarithm).
To show that 1 is not an irrational number, we need to demonstrate that it can be expressed as a ratio of two integers. One way to do this is to write 1 as the ratio of any integer to itself. For example, 1/1 = 1, which is clearly a ratio of two integers. Another way is to use the fact that any integer divided by itself is equal to 1. That is, for any integer a, a/a = 1. Therefore, 1 can be expressed as the ratio of any integer to itself.
It is important to note that not all real numbers are either rational or irrational. Some real numbers, such as 0, 1, and any integer, are rational, while others, such as π and e, are irrational. However, there are also real numbers that are neither rational nor irrational, such as the imaginary unit i, which is defined as the square root of -1.
In summary, 1 is not an irrational number because it can be expressed as the ratio of any integer to itself. While it is not irrational, it is still a very important number in mathematics and has many interesting properties and applications.
