Find the equation with rational coefficients whose one root is √2-√3
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Step-by-step explanation:
If one of the roots of the equation is 3−2
3
other will be 3+2
3
Thus, sum of roots =6
Product of roots =(3−2
3
)(3+2
3
) = 9−4×3=−3
Hence, the equation can be written as x
2
−Sx+P=0
∴x
2
−6x−3=0
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