True or False square root of 41 is a rational number
To determine whether the square root of 41 is a rational number, we need to understand the definitions of rational and irrational numbers.
A rational number can be expressed as a ratio (fraction) of two integers, where the denominator is not zero. On the other hand, an irrational number cannot be expressed as a simple fraction and has an infinite non-repeating decimal representation.
To determine if the square root of 41 is rational, we can check if it can be expressed as a fraction (or ratio) of two integers.
Calculating the square root of 41, we find that it is approximately 6.40312423743. This decimal representation does not terminate or repeat, indicating that the square root of 41 is an irrational number.
Therefore, the statement "The square root of 41 is a rational number" is false.