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Question 220043
JEE Mathematics · Hard

Quadratic Equations and Inequalities: Irrational roots MCQ

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Irrational rootsHardQuestion 220043

Question

If 2 + √3 is a root of a quadratic with rational coefficients, the other root is:
  1. A
    2 − √3
    Correct
  2. B
    −2 + √3
  3. C
    √3 − 2
  4. D
    √3 + 2

Correct answer

2 − √3

Explanation

For rational coefficients, irrational roots come in conjugate pairs. If 2+√3 is a root, then 2−√3 is also a root.

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