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Subjects
Class 10MathematicsPolynomialsIrrational numbers and real numbersHardLevel 27
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If (2+\sqrt{3}) is a zero of a quadratic polynomial with rational coefficients, what will the other zero be?

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Answer and explanation

Correct answer: (2-\sqrt{3})

With rational coefficients, the conjugate of an irrational zero is also a zero. So (2-\sqrt{3}) will be the other zero.

Related tags

Conjugate-RootQuadraticIrrational

Frequently asked questions

What is the correct answer to this question?

(2-\sqrt{3})

Why is this the correct answer?

With rational coefficients, the conjugate of an irrational zero is also a zero. So (2-\sqrt{3}) will be the other zero.

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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