Algebramedium · Past Paper

If one root is 2 + sqrt(3), then the other root of a quadratic equation with rational coefficients is:

A2 - sqrt(3)
B-2 + sqrt(3)
C1 / (2+sqrt(3))
Dsqrt(3) - 2

✓ Correct Answer: A2 - sqrt(3)

Irrational roots of a quadratic equation with rational coefficients occur in conjugate pairs.

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