Multiple choice

If one of the root of the equation is $(2+\sqrt { 3 } )$, the other has to be

  1. $\displaystyle \sqrt { 3 } -2$
  2. $\displaystyle 2$
  3. $\displaystyle 2-\sqrt { 3 } $
  4. $\displaystyle \sqrt { 3 } $
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C Correct answer
AI explanation

When a quadratic equation has rational coefficients, any irrational roots must occur in conjugate pairs. Assuming the coefficients are rational, the conjugate of the given root (2 + sqrt(3)) is found by reversing the sign of the radical term. Therefore, the other root is (2 - sqrt(3)).

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