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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 14
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Which of the following can be the decimal form of an irrational number?

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Answer and explanation

Correct answer: (1.41421356\ldots) with no fixed repetition

Step 1: Recurring or terminating decimals are rational. Step 2: A non-terminating decimal without fixed repetition can be irrational. Step 3: Do not judge only by length; check for repetition.

Related tags

Real-NumbersDecimal-FormIrrational

Frequently asked questions

What is the correct answer to this question?

(1.41421356\ldots) with no fixed repetition

Why is this the correct answer?

Step 1: Recurring or terminating decimals are rational. Step 2: A non-terminating decimal without fixed repetition can be irrational. Step 3: Do not judge only by length; check for repetition.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.

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10 more MCQs
  1. 1Which of the following numbers is irrational?
  2. 2Which of the following numbers is rational?
  3. 3What type of number is (\sqrt{16})?
  4. 4Which statement about (\sqrt{10}) is correct?
  5. 5Which of the following is an example of an irrational number?
  6. 6Which decimal form represents an irrational number?
  7. 7What type of number is (0.3333\ldots)?
  8. 8Which statement is correct about (0.101001000100001\ldots)?
  9. 9If (a) is a non-zero rational number and (b) is an irrational number, what type of number is (ab) generally?
  10. 10What type of number is (\sqrt{2}+3)?
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