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Which of the following is an irrational number?\newlineChoices:\newline(A) 55\newline(B) 12\frac{1}{2}\newline(C) 00\newline(D) 88

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Q. Which of the following is an irrational number?\newlineChoices:\newline(A) 55\newline(B) 12\frac{1}{2}\newline(C) 00\newline(D) 88
  1. Definition of Irrational Number: Understand the definition of an irrational number. An 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 Choice (A): Evaluate choice (A) which is 55.\newlineThe number 55 can be expressed as a fraction 51\frac{5}{1} and as a terminating decimal 5.05.0. Therefore, it is not an irrational number.
  3. Evaluate Choice (B): Evaluate choice (B) which is 12\frac{1}{2}. The number 12\frac{1}{2} is already in fraction form and is equal to the terminating decimal 0.50.5. Therefore, it is not an irrational number.
  4. Evaluate Choice (C): Evaluate choice (C) which is 00. The number 00 can be expressed as a fraction (0/1)(0/1) and as a terminating decimal (0.0)(0.0). Therefore, it is not an irrational number.
  5. Evaluate Choice (D): Evaluate choice (D) which is 88. The number 88 can be expressed as a fraction (8/1)(8/1) and as a terminating decimal (8.0)(8.0). Therefore, it is not an irrational number.
  6. Conclude None are Irrational: Conclude that none of the given choices are irrational numbers.\newlineSince all the choices can be expressed as fractions or terminating decimals, none of them are irrational numbers. There seems to be an error in the question or the choices provided, as none of the options are correct.

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