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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 14
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Which pair has two irrational numbers whose sum is rational?

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Answer and explanation

Correct answer: (\sqrt{5},-\sqrt{5})

Step 1: (\sqrt{5}) and (-\sqrt{5}) are both irrational. Step 2: Their sum is (0), which is rational. Step 3: Opposite irrational terms can give a rational sum.

Related tags

Real-NumbersIrrational-SumRational-Result

Frequently asked questions

What is the correct answer to this question?

(\sqrt{5},-\sqrt{5})

Why is this the correct answer?

Step 1: (\sqrt{5}) and (-\sqrt{5}) are both irrational. Step 2: Their sum is (0), which is rational. Step 3: Opposite irrational terms can give a rational sum.

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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