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Classify each number below as a rational number or an irrational number. (a) Is √26 rational or irrational?

Classify each number below as a rational number or an irrational number.
(a) Is √26 rational or irrational?
(b) Is 73.40 rational or irrational?
(c) Is −√16 rational or irrational?
(d) Is −20/14 rational or irrational?
(e) Is 20π rational or irrational?

Answer

  1. Irrational - √26 is not a perfect square, so it is irrational.

  2. Rational - 73.40 is a terminating decimal, so it is rational.

  3. Rational - −√16 is −4, which is a rational number.

  4. Rational - −20/14 simplifies to −10/7, which is a rational number.

  5. Irrational - 20π is irrational because π is irrational.

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