Yes, 49 squared is a rational number.
To explain further, when we square a number, we multiply that number by itself. So, 49 squared (written as 492) is calculated as follows:
- 49 x 49 = 2401
Now, the result, 2401, is a whole number. By definition, a rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In this case, we can express 2401 as 2401/1, which clearly fits the definition of a rational number.
Therefore, since 2401 is a whole number and can be expressed as a fraction, we conclude that 49 squared is indeed a rational number.