Question
7.564564... rational or irrational
Answers
GPT 3.5
To determine whether 7.564564... is rational or irrational, we need to analyze the pattern of the digits.
Looking at the decimal representation, we can observe that the digit "564" repeats indefinitely. Therefore, we can express 7.564564... as the fraction 7564/999.
Since the numerator and denominator of 7564/999 are both integers and the denominator is not zero, we can conclude that 7.564564... is rational.
Looking at the decimal representation, we can observe that the digit "564" repeats indefinitely. Therefore, we can express 7.564564... as the fraction 7564/999.
Since the numerator and denominator of 7564/999 are both integers and the denominator is not zero, we can conclude that 7.564564... is rational.