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Class 10MathematicsReal NumbersIrrational numbersMediumLevel 13
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Which option shows a difference of two irrational numbers that 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 difference is (0), which is rational. Step 3: The difference of equal irrational terms can be rational.

Related tags

Real-NumbersIrrational-DifferenceRational-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 difference is (0), which is rational. Step 3: The difference of equal irrational terms can be rational.

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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