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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 14
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Which option shows a product of two irrational numbers that is rational?

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Answer and explanation

Correct answer: (\sqrt{3}\times\sqrt{3})

Step 1: (\sqrt{3}) is irrational. Step 2: (\sqrt{3}\times\sqrt{3}=3), which is rational. Step 3: The product of two irrational numbers is not always irrational.

Related tags

Real-NumbersIrrational-ProductRational-Result

Frequently asked questions

What is the correct answer to this question?

(\sqrt{3}\times\sqrt{3})

Why is this the correct answer?

Step 1: (\sqrt{3}) is irrational. Step 2: (\sqrt{3}\times\sqrt{3}=3), which is rational. Step 3: The product of two irrational numbers is not always irrational.

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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