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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 β‡’ it can be expressed as a fraction β‡’ rational number. b = √5 cannot be expressed as a ratio of two integers β‡’ irrational number. Answer: a is rational, b is irrational.

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