State whether the following statements are true or false? Justify your answer.

Number of rational numbers between 15 and 18 is finite.

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State whether the following statements are true or false? Justify your answer.

There are infinitely many integers between any two integers.

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There are numbers which cannot be written in the form , ≠ 0, p, q both are integers.

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The square of an irrational number is always rational.