Question

Mr. DeMouy is thinking of an irrational number between 4 and 9. Mrs. Nelson says that the number must be . Mr. DeMouy says this isn’t true and there are many irrational numbers between 4 and 9 other than . Is Mr. DeMouy right? If so, give 2 examples that Mr. DeMouy could give and say how you known each number is irrational. If Mr. DeMouy is not right, explain how you know this. HELP PLZZ !!!
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Answer 1

There are infinite irrational numbers between 4 and 9 because an irrational number can be any value as long the number cannot be expressed as a ratio between two whole numbers. The mistake is limiting irrational numbers to the common irrational numbers we know such as π and e.