Which of the following is an irrational number? Choices: (A)𝜋 (B)9 (C)6 (D)4

Define irrational number: Define 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.Evaluate pi: Evaluate choice (A) 𝜋. 𝜋 (pi) is known to be a non-repeating, non-terminating decimal that cannot be expressed as a fraction of two integers. Therefore, 𝜋 is an irrational number.Evaluate 9: Evaluate choice (B) 9. The number 9 is a whole number and can be expressed as a fraction (9/1). It is not non-repeating or non-terminating. Therefore, 9 is not an irrational number.Evaluate 6: Evaluate choice (C) 6. The number 6 is also a whole number and can be expressed as a fraction (6/1). It is not non-repeating or non-terminating. Therefore, 6 is not an irrational number.Evaluate 4: Evaluate choice (D) 4. The number 4 is a whole number and can be expressed as a fraction (4/1). It is not non-repeating or non-terminating. Therefore, 4 is not an irrational number.Determine correct choice: Determine the correct choice. Based on the evaluations, the only number that fits the definition of an irrational number is choice (A) 𝜋.

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Which of the following is an irrational number? $\newline$ Choices: $\newline$ (A) $\pi$ $\newline$ (B) $9$ $\newline$ (C) $6$ $\newline$ (D) $4$

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Q. Which of the following is an irrational number?

\newline

Choices:

\newline

(A)

\pi

\newline

(B)

9

\newline

(C)

6

\newline

(D)

4

Define irrational number: Define 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.
Evaluate pi: Evaluate choice (A) $\pi$ . $\pi$ (pi) is known to be a non-repeating, non-terminating decimal that cannot be expressed as a fraction of two integers. Therefore, $\pi$ is an irrational number.
Evaluate $9$ : Evaluate choice (B) $9$ . The number $9$ is a whole number and can be expressed as a fraction ( $\frac{9}{1}$ ). It is not non-repeating or non-terminating. Therefore, $9$ is not an irrational number.
Evaluate $6$ : Evaluate choice (C) $6$ . The number $6$ is also a whole number and can be expressed as a fraction ( $\frac{6}{1}$ ). It is not non-repeating or non-terminating. Therefore, $6$ is not an irrational number.
Evaluate $4$ : Evaluate choice (D) $4$ . The number $4$ is a whole number and can be expressed as a fraction ( $4/1$ ). It is not non-repeating or non-terminating. Therefore, $4$ is not an irrational number.
Determine correct choice: Determine the correct choice. $\newline$ Based on the evaluations, the only number that fits the definition of an irrational number is choice (A) $\pi$ .