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Class 10MathematicsPolynomialsIrrational numbers and real numbersHardLevel 27
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If the zeroes of a quadratic polynomial are (3+\sqrt{5}) and (3-\sqrt{5}), what is the type of their sum?

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Answer and explanation

Correct answer: Rational number

The sum is (3+\sqrt{5}+3-\sqrt{5}=6), which is rational. Conjugate irrational numbers often have a rational sum.

Related tags

Conjugate-IrrationalsZeroesSum

Frequently asked questions

What is the correct answer to this question?

Rational number

Why is this the correct answer?

The sum is (3+\sqrt{5}+3-\sqrt{5}=6), which is rational. Conjugate irrational numbers often have a rational sum.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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10 more MCQs
  1. 1Which number is an irrational number?
  2. 2Which number is a rational number?
  3. 3All rational and irrational numbers together form which set?
  4. 4What type of number is the decimal 0.333...?
  5. 5The decimal \(0.1010010001\ldots\) that shows no fixed repeating block is what type of number?
  6. 6What type of number is \(\sqrt{49}\)?
  7. 7Which statement is correct about √11?
  8. 8Which is the correct definition of a rational number?
  9. 9What is the decimal expansion of an irrational number like?
  10. 10What type of number is \(\pi\)?
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