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(a) Katie is thinking of an irrational number between 1 and 4. Tina says the number must be since is 1 and is 2. So is the only irrational number between and . Katie says that this is not true and that there are many irrational numbers between 1 and 4 other than . Is Katie right? If so, give 2 examples that Katie could have given and say how you know each number is irrational. If Katie is not right, explain how you know this.
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