Is the Square Root of 28 a Rational Number?

The square root of 28 is not a rational number. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since 28 is not a perfect square, its square root cannot be expressed as a simple fraction.

To understand why, let’s break it down:

1. Perfect Squares: Numbers like 1, 4, 9, 16, 25, etc., are perfect squares because they are squares of integers (1², 2², 3², 4², 5², etc.).
2. Square Root of 28: The square root of 28 is approximately 5.2915. This number cannot be expressed as a fraction of two integers, making it an irrational number.

In conclusion, the square root of 28 is an irrational number because it cannot be expressed as a simple fraction and its decimal representation is non-terminating and non-repeating.