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    Irrationality of Pi-Squared and Repeating Decimals

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    1. Show that (pi)^2 is irrational

    2. Write 12.999 as a fraction.

    3. Explain why the ratio of 2 integers must always be a repeating decimal?

    4. Suppose that you have a set, if you remove some things from the set, will the remaining things always contain fewer items in it than the original set? If so, why? If not, show with a proof.

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    Solution Summary

    The irrationality of pi-squared and repeating decimals are investigated. The solution is detailed and well presented.