Frame a quadratic polynomial whose zeroes are 2+V3.
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if one of the zeroes of a quadratic equation is 2+√3
then the other zero is 2-√3
if one of the zero is irrational then the other is conjugate of it
let @ and ß be the zeros of the equation
@+ß=2+√3+2-√3
=4
@ß=(2+√3)(2-√3)
=2²-√3²
=4-3
=1
the required quadratic equation is
x²-(@+ß)x+@ß=0
x²-4x+1=0
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