Which of the following is an irrational number? Choices: (A)sqrt 5 (B)1/2 (C)0 (D)8

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Which of the following is an irrational number?    Choices: (A)sqrt 5 (B)1/2 (C)0 (D)8

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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 - that is, the ratio of two integers. It is a number that has a non-repeating, non-terminating decimal expansion.Evaluate sqrt(5): Evaluate option (A) sqrt(5). The square root of 5 is not a perfect square, which means it cannot be expressed as a simple fraction of two integers. Its decimal expansion is non-terminating and non-repeating. Therefore, sqrt(5) is an irrational number.Evaluate 1/2: Evaluate option (B) 1/2. The number 1/2 is a simple fraction and can be expressed as 0.5, which is a terminating decimal. Therefore, 1/2 is not an irrational number.Evaluate 0: Evaluate option (C) 0. The number 0 can be expressed as the fraction 0/1, which is a simple fraction with a terminating decimal. Therefore, 0 is not an irrational number.Evaluate 8: Evaluate option (D) 8. The number 8 is an integer and can be expressed as the fraction 8/1. It has a terminating decimal expansion. Therefore, 8 is not an irrational number.Select Correct Answer: Select the correct answer based on the evaluations. Since sqrt(5) is the only number among the options that cannot be expressed as a simple fraction and has a non-terminating, non-repeating decimal expansion, it is the only irrational number in the list.

Which of the following is an irrational number? $\newline$ Choices: $\newline$ (A) $\sqrt{5}$ $\newline$ (B) $\frac{1}{2}$ $\newline$ (C) $0$ $\newline$ (D) $8$

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Which of the following is an irrational number? $\newline$ Choices: $\newline$ (A) $\sqrt{5}$ $\newline$ (B) $\frac{1}{2}$ $\newline$ (C) $0$ $\newline$ (D) $8$