Which of the following are irrational numbers? Multi-select Choices: (A)5 (B)2 (C)6 (D)5

Definition of Irrational Numbers: An irrational number is a number that cannot be expressed as a fraction for any integers and has infinite non-repeating decimals. Let's examine each choice to determine if it is irrational.Choice (A): Number 5: Choice (A) is the number 5. This is an integer and can be expressed as a fraction 5/1, which means it is a rational number.Choice (B): Number 2: Choice (B) is the number 2. This is also an integer and can be expressed as a fraction 2/1, which means it is a rational number.Choice (C): Number 6: Choice (C) is the number 6. This is an integer as well and can be expressed as a fraction 6/1, which means it is a rational number.Choice (D): Number 5: Choice (D) is again the number 5, which is a duplicate of choice (A) and is also a rational number.Conclusion: Since none of the given choices are irrational numbers, we can conclude that there are no irrational numbers in the given choices.

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Math Problems

Algebra 1

Simplify exponential expressions using the multiplication and division rules

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Q. Which of the following are irrational numbers?

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Multi-select Choices:

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(A)

5

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(B)

2

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(C)

6

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(D)

5

Definition of Irrational Numbers: An irrational number is a number that cannot be expressed as a fraction for any integers $a$ and $b$ ( $b \neq 0$ ) and has infinite non-repeating decimals. Let's examine each choice to determine if it is irrational.
Choice (A): Number $5$ : Choice (A) is the number $5$ . This is an integer and can be expressed as a fraction $\frac{5}{1}$ , which means it is a rational number.
Choice (B): Number $2$ : Choice (B) is the number $2$ . This is also an integer and can be expressed as a fraction $\frac{2}{1}$ , which means it is a rational number.
Choice (C): Number $6$ : Choice (C) is the number $6$ . This is an integer as well and can be expressed as a fraction $\frac{6}{1}$ , which means it is a rational number.
Choice (D): Number $5$ : Choice (D) is again the number $5$ , which is a duplicate of choice (A) and is also a rational number.
Conclusion: Since none of the given choices are irrational numbers, we can conclude that there are no irrational numbers in the given choices.