Which of the following is an irrational number?

Q: Which of the following is an irrational number?

The correct answer is C. √2 is irrational because it cannot be expressed as a ratio of two integers (p/q form). Its decimal expansion is non-terminating and non-repeating: 1.41421356... This was first proved by the ancient Greeks using proof by contradiction. Remember: a number is irrational if its decimal neither terminates nor repeats.

Question

Accepted Answer

√2 is irrational because it cannot be expressed as a ratio of two integers (p/q form). Its decimal expansion is non-terminating and non-repeating: 1.41421356... This was first proved by the ancient Greeks using proof by contradiction. Remember: a number is irrational if its decimal neither terminates nor repeats.

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