If \( \alpha, \beta \) are the roots of the quadratic a equation \( x^{2}-\left(3+2^{\sqrt{\log ... VIDEO
If \( \alpha, \beta \) are the roots of the quadratic a equation \( x^{2}-\left(3+2^{\sqrt{\log _{2} 3}}-3^{\sqrt{\log _{3} 2}}\right) x-2\left(3^{\log _{3} 2}-2^{\log _{2} 3}\right)=0 \), then the value of \( \alpha^{2}+\alpha \beta+\beta^{2} \) is equal to :
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