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Class 10MathematicsReal NumbersIrrational numbersEasyLevel 14
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Which statement is correct about (\sqrt{2}+5)?

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Answer and explanation

Correct answer: It is irrational

Step 1: (\sqrt{2}) is irrational and (5) is rational. Step 2: Adding a rational number does not remove the irrational part. Step 3: The sum of a rational and an irrational number is generally irrational.

Related tags

Real-NumbersIrrational-SumSqrt2

Frequently asked questions

What is the correct answer to this question?

It is irrational

Why is this the correct answer?

Step 1: (\sqrt{2}) is irrational and (5) is rational. Step 2: Adding a rational number does not remove the irrational part. Step 3: The sum of a rational and an irrational number is generally 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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