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Subjects
Class 10MathematicsPolynomialsIrrational numbers and real numbersHardLevel 25
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If (n) is a positive integer and (\sqrt{n}) is irrational, when will (\sqrt{4n}) be rational?

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Answer and explanation

Correct answer: Never

(\sqrt{4n}=2\sqrt{n}). Multiplying an irrational number by a non zero rational keeps it irrational.

Related tags

Irrational-RootReasoningProperties

Frequently asked questions

What is the correct answer to this question?

Never

Why is this the correct answer?

(\sqrt{4n}=2\sqrt{n}). Multiplying an irrational number by a non zero rational keeps it irrational.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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10 more MCQs
  1. 1Which number is an irrational number?
  2. 2Which number is a rational number?
  3. 3All rational and irrational numbers together form which set?
  4. 4What type of number is the decimal 0.333...?
  5. 5The decimal \(0.1010010001\ldots\) that shows no fixed repeating block is what type of number?
  6. 6What type of number is \(\sqrt{49}\)?
  7. 7Which statement is correct about √11?
  8. 8Which is the correct definition of a rational number?
  9. 9What is the decimal expansion of an irrational number like?
  10. 10What type of number is \(\pi\)?
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