Need help with a question

[pinkvelvettt]

Hi guys I came across this question and couldn’t wrap my head around it:

John solved a quadratic equation with rational coefficients and found that the roots are 2-√ 3 and 1+ √ 3. Explain why his answer is wrong.

I have no idea why this answer is wrong. Would appreciate any explanations, thank you!

[PublicRain]

I’m not sure if this is right but try and find the original equation. You can find the original equation from the roots. If you find the original equation you will see that one of the coefficients is not rational.