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Check all statements that are true. Since 100 is a perfect square, \( \sqrt{100} \) is rational. Since it...

Check all statements that are true.
Since 100 is a perfect square, \( \sqrt{100} \) is rational.
Since it is a repeating decimal, \( 3.\overline{4} \) is irrational.
Since 13 is not a perfect square, \( \sqrt{13} \) is irrational.
Since it is a ratio of two integers, \( \frac{2}{3} \) is irrational.
Since it is a terminating decimal, 1.83 is rational.
None of the above statements are true.

Answer

  1. True: Since 100 is a perfect square, \( \sqrt{100} = 10 \) is rational.

  2. False: Since it is a repeating decimal, \( 3.\overline{4} = \frac{31}{9} \) is rational.

  3. True: Since 13 is not a perfect square, \( \sqrt{13} \) is irrational.

  4. False: Since it is a ratio of two integers, \( \frac{2}{3} \) is rational.

  5. True: Since it is a terminating decimal, 1.83 is rational.

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

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