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Which of the following are irrational numbers?\newlineMulti-select Choices:\newline(A) 2.5292.529\newline(B) 22\newline(C) 44\newline(D) Ο€\pi

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Full solution

Q. Which of the following are irrational numbers?\newlineMulti-select Choices:\newline(A) 2.5292.529\newline(B) 22\newline(C) 44\newline(D) Ο€\pi
  1. Define irrational number: Define what an irrational number is.\newlineAn irrational number is a number that cannot be expressed as a simple fraction or as a terminating or repeating decimal. It goes on forever without repeating.
  2. Evaluate option A: Evaluate each option to determine if it is irrational.\newline(A) 2.5292.529 is a terminating decimal, which means it can be expressed as a fraction. Therefore, it is not an irrational number.
  3. Evaluate option B: Evaluate option (B). \newline(B) 22 is an integer and can be expressed as the fraction 21\frac{2}{1}, which means it is a rational number, not an irrational number.
  4. Evaluate option C: Evaluate option (C).\newline(C) 44 is also an integer and can be expressed as the fraction 41\frac{4}{1}, which means it is a rational number, not an irrational number.
  5. Evaluate option D: Evaluate option (D). (D) ​π\pi (pi) is known to be an irrational number because it cannot be expressed as a fraction and its decimal representation is non-terminating and non-repeating.

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