Which is a rational number? 1.345 or √6

Answer 1

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

1.345 is a decimal number that can be expressed as \(\frac{1345}{1000}\), which is a fraction of two integers. Thus, 1.345 is a rational number.

On the other hand, \(\sqrt{6}\) is an irrational number because it cannot be expressed as a fraction of two integers. It has a non-repeating, non-terminating decimal expansion.

Therefore, the rational number between the two options given is 1.345.