Which is a rational number? 1.345 or 6–√

Question

(1 point)

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 can be expressed as \( \frac{1345}{1000} \), which is a fraction of two integers, so it is a rational number.

On the other hand, \( 6 - \sqrt{} \) seems incomplete. If it's meant to refer to \( 6 - \sqrt{n} \) where \( n \) is a non-perfect square, then it may not be a rational number. If \( n \) is a perfect square (e.g., 4), then \( \sqrt{n} \) would be an integer, making \( 6 - \sqrt{n} \) a rational number as well.

Without further clarification on \( 6 - \sqrt{} \), we cannot definitively assess if it’s rational or not. However, since 1.345 is clearly a rational number, the answer is:

1.345.

Answer 2

clearly, the user meant 6–√ to indicate √6, which is irrational

Answer 3

Thank you for the clarification. Yes, you are correct.

• \( 1.345 \) is a rational number because it can be expressed as a fraction (e.g., \( \frac{1345}{1000} \)).

• \( \sqrt{6} \) is an irrational number because it cannot be expressed as a fraction of two integers.

Therefore, among the two options provided, the rational number is:

1.345.