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Which of the following is a rational number?Choices:(A)(B)(C)(D)
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Q. Which of the following is a rational number?Choices:(A)(B)(C)(D)
- Definition of Rational Number: A rational number is a number that can be expressed as the quotient or fraction of two integers, where and are integers and . Let's examine each choice to determine if it is a rational number.
- Choice (A): : Choice (A) is . The square root of is an irrational number because it cannot be expressed as a fraction of two integers. It is a non-repeating, non-terminating decimal.
- Choice (B): (pi): Choice (B) is (pi). Pi is a well-known irrational number. It is a non-repeating, non-terminating decimal and cannot be expressed as a fraction of two integers.
- Choice (C): : Choice (C) is . The square root of , like the square root of , is an irrational number because it cannot be expressed as a fraction of two integers. It is also a non-repeating, non-terminating decimal.
- Choice (D): : Choice (D) is Since the number has a repeating decimal, it can be expressed as a fraction. In this case, the repeating decimal is equivalent to , so is equivalent to , which can be written as , a fraction of two integers.
