Which of the following is a rational number: 2π, 6/0, √61, or 0.37815?

Answer 1

A rational number is defined as a number that can be expressed as the quotient of two integers, where the denominator is not zero.

Let's evaluate the options given:

1. 2π: This is an irrational number because π (pi) is an irrational number. Therefore, 2π is also irrational.

2. 6/0: Division by zero is undefined. Hence, this option is not a rational number.

3. √61: The square root of 61 is an irrational number because 61 is not a perfect square.

4. 0.37815: This number can be expressed as 37815/100000, which is the ratio of two integers. Therefore, it is a rational number.

Thus, the rational number among the given options is 0.37815.