Q. Which of the following are irrational numbers?Multi-select Choices:(A) 7(B) 2(C) 7(D) 0
Definition of Irrational Numbers: An irrational number is a number that cannot be expressed as a simple fraction. Irrational numbers have endless non-repeating decimals. To determine if the given numbers are irrational, we need to check if they can be expressed as a fraction or if they have a non-repeating, non-terminating decimal expansion.
Checking Number (A)7:(A)7 is an integer, and all integers can be expressed as a fraction with a denominator of 1 (for example, 7 can be written as 17). Therefore, 7 is not an irrational number.
Checking Number B2:B2 is also an integer, and like 7, it can be expressed as a fraction 12. Therefore, 2 is not an irrational number.
Checking Number (C)7:(C)7 is listed again, and as previously stated, it is not an irrational number because it can be expressed as a fraction 17.
Checking Number (D)0:(D)0 is an integer and can be expressed as a fraction 10. Therefore, 0 is not an irrational number.
Conclusion: Since none of the given numbers (A)7,(B)2,(C)7, and (D)0 are irrational, the correct answer is that none of the choices are irrational numbers.
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