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Irrationality of Pi-Squared and Repeating Decimals

1. Show that (pi)^2 is irrational (I mean pi to the 2nd)

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.

Solution Summary

Irrationality of Pi-Squared and Repeating Decimals are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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