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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 13
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If (a) is a non-zero rational number and (b) is an irrational number, what type of number is (ab) generally?

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Answer and explanation

Correct answer: Irrational number

Step 1: Multiplying an irrational number by a non-zero rational number keeps it irrational. Step 2: For example, (2 \times \sqrt{3}=2\sqrt{3}), which is irrational. Step 3: The non-zero condition is important because multiplication by (0) gives (0).

Related tags

Real-NumbersIrrational-ProductRational-Number

Frequently asked questions

What is the correct answer to this question?

Irrational number

Why is this the correct answer?

Step 1: Multiplying an irrational number by a non-zero rational number keeps it irrational. Step 2: For example, (2 \times \sqrt{3}=2\sqrt{3}), which is irrational. Step 3: The non-zero condition is important because multiplication by (0) gives (0).

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. 9What type of number is (\sqrt{2}+3)?
  10. 10The simplified form of (\sqrt{2}+\sqrt{2}) is what type of number?
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