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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 14
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If (a) is irrational and (r) is a non-zero rational number, what type of number is (ra)?

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Answer and explanation

Correct answer: Irrational

Step 1: A non-zero rational multiplier does not remove irrationality. Step 2: For example, (3\sqrt{2}) is irrational. Step 3: The non-zero condition is important because multiplying by zero gives zero.

Related tags

Real-NumbersIrrational-RuleNonzero-Rational

Frequently asked questions

What is the correct answer to this question?

Irrational

Why is this the correct answer?

Step 1: A non-zero rational multiplier does not remove irrationality. Step 2: For example, (3\sqrt{2}) is irrational. Step 3: The non-zero condition is important because multiplying by zero gives zero.

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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