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Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational.

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Final answer:

An irrational number that is between 5.2 and 5.5 is approximately 4.242. The square root of 2 is an irrational number.


Step-by-step explanation:

To find an irrational number between 5.2 and 5.5, we can use the square root of 2 which is approximately 1.414. Multiplying 1.414 by 3 gives us 4.242, which is between 5.2 and 5.5. The square root of 2 is an irrational number because it cannot be expressed as a fraction or a repeating decimal.


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