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Check all statements that are true. Since it is a repeating decimal, 13.5̅ is irrational. Since it is a...

Check all statements that are true.
Since it is a repeating decimal, 13.5̅ is irrational.
Since it is a terminating decimal, 17.57 is rational.
Since 64 is a perfect square, √64 is irrational.
Since 2 is not a perfect square, √2 is rational.
Since it is a ratio of two integers, 9/8 is rational.
None of the above statements are true.

Answer

  1. False: Since it is a repeating decimal, 13.5̅ is rational. Repeating decimals are rational numbers.

  2. True: Since it is a terminating decimal, 17.57 is rational. Terminating decimals are rational numbers.

  3. False: Since 64 is a perfect square, √64 is rational. The square root of a perfect square is rational.

  4. False: Since 2 is not a perfect square, √2 is irrational. The square root of a non-perfect square is irrational.

  5. True: Since it is a ratio of two integers, 9/8 is rational. Ratios of integers are rational numbers.

  6. False: None of the above statements are true.

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