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      Question

      If a = 0.121212… (repeating) and b = √5, state

      whether each is rational or irrational.
      A a is rational and b is irrational Correct Answer Incorrect Answer
      B a is irrational and b is rational Correct Answer Incorrect Answer
      C Both a and b is rational Correct Answer Incorrect Answer
      D Both a and b is irrational Correct Answer Incorrect Answer

      Solution

      a = 0.121212… is a repeating decimal ⇒ it can be expressed as a fraction ⇒ rational number. b = √5 cannot be expressed as a ratio of two integers ⇒ irrational number. Answer: a is rational, b is irrational.

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