Question

Which number is rational? (1 point)
Responses

2√4
the fraction with numerator square root of 2 and denominator 4

0.23242526...


0.98989898...


15−−√

Answer 1

how do you know its the correct answer

Answer 2

The rational number is "the fraction with numerator square root of 2 and denominator 4."

Answer 3

I apologize for the confusion in my previous response. To determine which number is rational, we need to understand what a rational number is. A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q is not zero.

Out of the given options, "the fraction with numerator square root of 2 and denominator 4" is the only one that meets the definition of a rational number. This is because we can rewrite it as (√2)/4, where √2 is the square root of 2, and 4 is an integer.

To clarify, let's evaluate the rational number (√2)/4:
√2 is an irrational number, but when divided by 4, it becomes a rational number. Hence, (√2)/4 is a rational number.

None of the other options, such as 2√4, the decimal 0.23242526..., the decimal 0.98989898..., or 15−−√ are rational numbers.