Which of the following is a rational number? Choices: (A)0 (B)𝜋 (C)sqrt 5 (D)sqrt 8

Define Rational Number: Define what a rational number is. A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where p and q are integers and q is not zero. Evaluate Choice (A): Evaluate each choice to determine if it is a rational number. Start with choice (A) which is 0. The number 0 can be expressed as 0/1, where 0 is an integer and 1 is a non-zero integer. Therefore, 0 is a rational number. Evaluate Other Choices: Since we have already found a rational number, which is 0, we do not need to evaluate the other choices. However, for completeness, let's quickly check them. Choice (B) is π, which is known to be an irrational number because it cannot be expressed as a fraction of two integers. Check Choice (B): Choice (C) is the square root of 5. The square root of 5 is an irrational number because it cannot be expressed as a fraction of two integers. Check Choice (C): Choice (D) is the square root of 8. The square root of 8 is also an irrational number because it cannot be expressed as a fraction of two integers. Check Choice (D): Conclude that the only rational number among the choices is 0, which is choice (A).

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Which of the following is a rational number? $\newline$ Choices: $\newline$ (A) $0$ $\newline$ (B) $\pi$ $\newline$ (C) $\sqrt{5}$ $\newline$ (D) $\sqrt{8}$

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Algebra 1

Domain and range of square root functions: equations

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Q. Which of the following is a rational number?

\newline

Choices:

\newline

(A)

0

\newline

(B)

\pi

\newline

(C)

\sqrt{5}

\newline

(D)

\sqrt{8}

Define Rational Number: Define what a rational number is. A rational number is a number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $p$ and $q$ are integers and $q$ is not zero.
Evaluate Choice (A): Evaluate each choice to determine if it is a rational number. Start with choice (A) which is $0$ . The number $0$ can be expressed as $\frac{0}{1}$ , where $0$ is an integer and $1$ is a non-zero integer. Therefore, $0$ is a rational number.
Evaluate Other Choices: Since we have already found a rational number, which is $0$ , we do not need to evaluate the other choices. However, for completeness, let's quickly check them. Choice (B) is $\pi$ , which is known to be an irrational number because it cannot be expressed as a fraction of two integers.
Check Choice (B): Choice (C) is the square root of $5$ . The square root of $5$ is an irrational number because it cannot be expressed as a fraction of two integers.
Check Choice (C): Choice (D) is the square root of $8$ . The square root of $8$ is also an irrational number because it cannot be expressed as a fraction of two integers.
Check Choice (D): Conclude that the only rational number among the choices is $0$ , which is choice (A).