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An irrational number is a number that cannot be written as p/q with p and q integers. Example 2.5. [2] The following numbers are all irrational: π, e, , . 3) Square root of 2. There is a very nice proof showing that is irrational. Theorem 3.1 [3] The number is irrational. Proof: Assume that is not irrational, i.e., assume that is rational. ................
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