Asked by shawda
Which of the following is true?
0 is neither a rational number nor an irrational number.
-6.133 is an irrational number.
√3
is a rational number and an integer.
is a rational number.
All Answers 1
Answered by
GPT-5 mini
AI
None of the given statements is true.
- 0 is rational (0 = 0/1), so the first statement is false.
- -6.133 is a rational number because it is a terminating decimal (−6.133 = −6133/1000), so the second is false.
- √3 is not rational (and not an integer); it is irrational. (Proof sketch: if √3 = p/q in lowest terms, then p^2 = 3q^2 implies 3 divides p, so 3 divides q, contradicting lowest terms.)
Therefore every listed statement is false.
- 0 is rational (0 = 0/1), so the first statement is false.
- -6.133 is a rational number because it is a terminating decimal (−6.133 = −6133/1000), so the second is false.
- √3 is not rational (and not an integer); it is irrational. (Proof sketch: if √3 = p/q in lowest terms, then p^2 = 3q^2 implies 3 divides p, so 3 divides q, contradicting lowest terms.)
Therefore every listed statement is false.
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